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SN Partial Differential Equations and Applications

Short Title: SN Partial Differ. Equ. Appl.
Publisher: Springer Nature Switzerland, Basel
ISSN: 2662-2963; 2662-2971/e
Online: https://link.springer.com/journal/42985/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 264 Publications (since 2020)
References Indexed: 258 Publications with 8,051 References.
all top 5

Authors

4 Ozawa, Tohru
3 Hayashi, Nakao
3 Jentzen, Arnulf
3 Melenk, Jens Markus
3 Shimizu, Senjo
3 Zhang, Zhitao
2 Alves, Claudianor Oliveira
2 Bartsch, Thomas J.
2 Bretti, Gabriella
2 Choulli, Mourad
2 Coclite, Giuseppe Maria
2 Da Silva, Edcarlos Domingos
2 Dalcín, Lisandro D.
2 Du, Yihong
2 Espath, Luis F. R.
2 Figueiredo, Giovany Malcher
2 Gala, Sadek
2 Giga, Yoshikazu
2 Gosse, Laurent
2 Grunert, Katrin
2 Hamamuki, Nao
2 Hutzenthaler, Martin
2 Ishige, Kazuhiro
2 Kaltenbacher, Manfred
2 Kruse, Thomas
2 Liu, Zhaoli
2 Mandel, Rainer
2 Naumkin, Pavel Ivanovich
2 Ogawa, Takayoshi
2 Pan, Xingbin
2 Parsani, Matteo
2 Ragusa, Maria Alessandra
2 Reigstad, Audun
2 Rieder, Alexander
2 Sauer, Niko
2 Sayas, Francisco-Javier
2 Taniuchi, Yasushi
2 ten Thije Boonkkamp, Jan H. M.
2 Tsai, Tai-Peng
2 Warin, Xavier
2 Yu, Yuanyang
2 Zanella, Mattia
1 Abdellaoui, Mohammed Amin
1 Abels, Helmut
1 Abiko, Keisuke
1 Abta, Abdelhadi
1 Alaa, Noureddine
1 Alejo, Miguel A.
1 Alexopoulos, Konstantinos
1 Almushaira, Mustafa
1 Aloui, Faouzia
1 Amaral, Sabrina
1 Amorim, Paulo
1 Andersson, Adam
1 Anthonissen, Martijn Johannes Hermanus
1 Apalara, Tijani Abdulaziz
1 Aqel, Fatima Al-Zahra’
1 Araújo, Geraldo M.
1 Araujo, Marcos A. F.
1 Arima, Takashi
1 Arora, Rajan
1 Asai, Taisei
1 Attar, Kamel
1 Aurazo-Alvarez, Leithold L.
1 Bae, Hantaek
1 Bågmark, Kasper
1 Baldassari, Lorenzo
1 Barles, Guy
1 Başakoğlu, Engin
1 Beck, Geoffrey M.
1 Bell, Jonathan
1 Bellassoued, Mourad
1 Bellingeri, Carlo
1 Benhassine, Abderrazek
1 Berselli, Luigi Carlo
1 Bertens, Maikel W. M. C.
1 Bez, Neal
1 Bezerra, Flank David Morais
1 Bhattacharya, Debdeep
1 Bin-Saad, Maged Gumaan
1 Bo, Xiaomeng
1 Bobkov, Vladimir E.
1 Bögelein, Verena
1 Bokanowski, Olivier
1 Bölcskei, Helmut
1 Borachok, Ihor
1 Bottazzi, Emanuele
1 Boudjeriou, Tahir
1 Boutayeb, Salahaddine
1 Buchholz, Simone
1 Bueno, Hamilton P.
1 Caligaris, Carlo
1 Cardoso, Eleomar jun.
1 Carpenter, Mark H.
1 Carreño-Bolaños, Rafael
1 Carrião, Paulo Cesar
1 Carrisi, Maria Cristina
1 Carvajal, Xavier Paredes
1 Castillo, Ricardo
1 Castro, Javier Gutiérrez
...and 392 more Authors
all top 5

Fields

218 Partial differential equations (35-XX)
49 Numerical analysis (65-XX)
37 Fluid mechanics (76-XX)
21 Operator theory (47-XX)
16 Probability theory and stochastic processes (60-XX)
14 Ordinary differential equations (34-XX)
13 Functional analysis (46-XX)
13 Differential geometry (53-XX)
12 Biology and other natural sciences (92-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Optics, electromagnetic theory (78-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Computer science (68-XX)
8 Real functions (26-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Integral equations (45-XX)
6 Mechanics of deformable solids (74-XX)
6 Systems theory; control (93-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 Mechanics of particles and systems (70-XX)
3 History and biography (01-XX)
3 Topological groups, Lie groups (22-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geophysics (86-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 425 times in 377 Documents Cited by Year
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
56
2020
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
32
2021
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
23
2020
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
21
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
19
2021
Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
11
2020
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
11
2022
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
9
2020
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
6
2022
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
6
2020
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
6
2020
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
5
2021
Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172
Gala, Sadek; Ragusa, Maria Alessandra
5
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
5
2021
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
5
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
4
2021
Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083
Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F.
4
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
4
2021
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
4
2020
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
4
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
4
2020
Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations. Zbl 1460.35306
Almushaira, Mustafa; Liu, Fei
4
2020
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
4
2021
A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications. Zbl 1479.35226
Hamamuki, Nao; Liu, Qing
3
2021
Attraction-repulsion taxis mechanisms in a predator-prey model. Zbl 1479.35070
Bell, Jonathan; Haskell, Evan C.
3
2021
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
3
2022
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
3
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
3
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
3
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
3
2020
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
3
2022
Dynamical universality for random matrices. Zbl 1486.60015
Kawamoto, Yosuke; Osada, Hirofumi
3
2022
A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 07703078
Foghem Gounoue, Guy Fabrice
3
2023
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
3
2020
Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method. Zbl 1465.35175
Figueiredo, Giovany M.; Salirrosas, Segundo Manuel A.
3
2021
Regularity of the \(m\)-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
3
2021
Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). Zbl 1501.35059
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
3
2022
Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299
Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil
3
2022
Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864
Tsutaya, Kimitoshi; Wakasugi, Yuta
3
2022
Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097
Schochet, Steve
3
2022
The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287
Hieber, Matthias; Kress, Klaus; Stinner, Christian
2
2021
Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force. Zbl 1479.35111
Mitake, Hiroyoshi; Zhang, Longjie
2
2021
Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055
Yang, Zhipeng; Yu, Yuanyang
2
2021
High-dimensional distribution generation through deep neural networks. Zbl 1523.65017
Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut
2
2021
Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows. Zbl 1477.65169
Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo
2
2021
On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155
Abdellaoui, M.; Redwane, H.
2
2022
Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving BMO. Zbl 1487.35037
Kurokiba, Masaki; Ogawa, Takayoshi
2
2022
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
2
2020
Stability analysis of a delayed SIR epidemic model with diffusion and saturated incidence rate. Zbl 1454.35391
Abta, Abdelhadi; Boutayeb, Salahaddine; Laarabi, Hassan; Rachik, Mostafa; Alaoui, Hamad Talibi
2
2020
A game theoretical approach for a nonlinear system driven by elliptic operators. Zbl 1455.35081
Miranda, Alfredo; Rossi, Julio D.
2
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2
2020
A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations. Zbl 1452.76088
Fure, Håkon Sem; Pernet, Sébastien; Sirdey, Margot; Tordeux, Sébastien
2
2020
Partial symmetry of normalized solutions for a doubly coupled Schrödinger system. Zbl 1456.35008
Luo, Haijun; Zhang, Zhitao
2
2020
Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior. Zbl 1455.35128
Feng, Meiqiang; Sun, Huayuan; Zhang, Xuemei
2
2020
Minimal submanifolds in a metric measure space. Zbl 1456.53050
Cheng, Xu; Zhou, Detang
2
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
2
2020
Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy. Zbl 1460.35232
Liu, Lishan; Sun, Fenglong; Wu, Yonghong
2
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2
2020
Propagation, diffusion and free boundaries. Zbl 1465.35004
Du, Yihong
2
2020
Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient. Zbl 1487.35133
Fall, Mouhamed Moustapha; Mengesha, Tadele; Schikorra, Armin; Yeepo, Sasikarn
2
2022
Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. Zbl 1484.35348
Osada, Yuki
2
2022
Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027
Habibi, Sadaf; Takahashi, Futoshi
2
2022
Multilane analysis of a viscous second-order macroscopic traffic flow model. Zbl 1465.35303
Fosu, Gabriel Obed; Tabi Oduro, Francis; Caligaris, Carlo
2
2021
Liouville type theorems for stationary Navier-Stokes equations. Zbl 1462.35113
Tsai, Tai-Peng
2
2021
Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2
2021
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2
2021
On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space. Zbl 1464.35212
Chaabani, Abdelkerim
2
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2
2021
Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102
Giga, Yoshikazu; Ngô, Quốc Anh
2
2022
Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. Zbl 1498.35033
Consolo, Giancarlo; Grifó, Gabriele
2
2022
Newton’s second law with a semiconvex potential. Zbl 1490.35272
Hynd, Ryan
2
2022
Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515
Alexopoulos, Konstantinos; Davies, Bryn
2
2022
On the existence of positive solutions to a certain class of semilinear elliptic equations. Zbl 1480.35262
Ikoma, Norihisa
1
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
1
2021
An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains. Zbl 1491.76022
Hishida, Toshiaki
1
2021
On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. Zbl 1490.76051
Natali, Fábio; Cardoso, Eleomar; Amaral, Sabrina
1
2021
On sublinear fractional Schrödinger-Poisson systems. Zbl 1479.49014
Benhassine, Abderrazek
1
2021
Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth. Zbl 1476.34104
Zhang, Xiaofei; Liu, Chungen
1
2021
Regularity properties of the cubic biharmonic Schrödinger equation on the half line. Zbl 1483.35197
Başakoğlu, Engin
1
2021
Scattering resonances for a three-dimensional subwavelength hole. Zbl 1480.35097
Fatima, Maryam; Lin, Junshan
1
2021
Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance. Zbl 1476.35246
Noguera, Norman; Pastor, Ademir
1
2021
Traveling waves for the nonlinear variational wave equation. Zbl 1480.35087
Grunert, Katrin; Reigstad, Audun
1
2021
The unique continuation property for second order evolution PDEs. Zbl 1480.35080
Choulli, Mourad
1
2021
Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 1476.35198
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
1
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
1
2021
Evolving to non-round Weingarten spheres: integer linear Hopf flows. Zbl 1480.35276
Guilfoyle, Brendan; Klingenberg, Wilhelm
1
2021
A note on 2D Navier-Stokes equations. Zbl 1476.35170
Fan, Jishan; Ozawa, Tohru
1
2021
On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations. Zbl 1476.65271
Ranocha, Hendrik; de Luna, Manuel Quezada; Ketcheson, David I.
1
2021
One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041
Sourdis, Christos
1
2021
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
1
2020
The exterior Calderón operator for non-spherical objects. Zbl 1455.35253
Kristensson, Gerhard; Stratis, Ioannis G.; Wellander, Niklas; Yannacopoulos, Athanasios N.
1
2020
The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations. Zbl 1458.35161
Abdullah Sharaf, Khadijah; Chtioui, Hichem
1
2020
ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms. Zbl 1458.35087
Kitano, Shuhei
1
2020
Sweeping preconditioners for stratified media in the presence of reflections. Zbl 1455.65044
Preuß, Janosch; Hohage, Thorsten; Lehrenfeld, Christoph
1
2020
Positive and negative solutions for the nonlinear fractional Kirchhoff equation in \(\mathbb{R}^N \). Zbl 1455.35094
Wang, Yang; Liu, Yansheng
1
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
1
2020
On spectral asymptotics and bifurcation for carrier equations with odd superlinear term. Zbl 1455.35097
Zhang, Yu; Yan, Baoqiang
1
2020
All the generalized characteristics for the solution to a Hamilton-Jacobi equation with the initial data of the Takagi function. Zbl 1456.35082
Fujita, Yasuhiro; Hamamuki, Nao; Yamaguchi, Norikazu
1
2020
A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 07703078
Foghem Gounoue, Guy Fabrice
3
2023
General decay of the solution to a nonlinear viscoelastic beam with delay. Zbl 1518.35106
Khemmoudj, Ammar
1
2023
Global logarithmic stability of a Cauchy problem for anisotropic wave equations. Zbl 1518.35171
Bellassoued, Mourad; Choulli, Mourad
1
2023
On an indefinite nonhomogeneous equation with critical exponential growth. Zbl 1520.35077
Sousa, Karla Carolina V. de; Tavares, Leandro S.
1
2023
Fourth-order nonlinear degenerate problem for image decomposition. Zbl 1521.35212
Nokrane, Ahmed; Alaa, Nour Eddine; Aqel, Fatima
1
2023
Higher-order error estimates for physics-informed neural networks approximating the primitive equations. Zbl 07726379
Hu, Ruimeng; Lin, Quyuan; Raydan, Alan; Tang, Sui
1
2023
A continuum framework for phase field with bulk-surface dynamics. Zbl 1513.74138
Espath, Luis
1
2023
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
11
2022
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
6
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
3
2022
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
3
2022
Dynamical universality for random matrices. Zbl 1486.60015
Kawamoto, Yosuke; Osada, Hirofumi
3
2022
Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). Zbl 1501.35059
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
3
2022
Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299
Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil
3
2022
Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864
Tsutaya, Kimitoshi; Wakasugi, Yuta
3
2022
Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097
Schochet, Steve
3
2022
On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155
Abdellaoui, M.; Redwane, H.
2
2022
Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving BMO. Zbl 1487.35037
Kurokiba, Masaki; Ogawa, Takayoshi
2
2022
Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient. Zbl 1487.35133
Fall, Mouhamed Moustapha; Mengesha, Tadele; Schikorra, Armin; Yeepo, Sasikarn
2
2022
Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. Zbl 1484.35348
Osada, Yuki
2
2022
Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027
Habibi, Sadaf; Takahashi, Futoshi
2
2022
Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102
Giga, Yoshikazu; Ngô, Quốc Anh
2
2022
Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. Zbl 1498.35033
Consolo, Giancarlo; Grifó, Gabriele
2
2022
Newton’s second law with a semiconvex potential. Zbl 1490.35272
Hynd, Ryan
2
2022
Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515
Alexopoulos, Konstantinos; Davies, Bryn
2
2022
Ground states for Maxwell’s equations in nonlocal nonlinear media. Zbl 1489.35089
Mandel, Rainer
1
2022
Global in time solvability for a semilinear heat equation without the self-similar structure. Zbl 1487.35116
Fujishima, Yohei; Ioku, Norisuke
1
2022
Transport equations with inflow boundary conditions. Zbl 1491.35386
Scott, L. Ridgway; Pollock, Sara
1
2022
Cauchy problem for the ES-BGK model with the correct Prandtl number. Zbl 1486.82035
Son, Sung-jun; Yun, Seok-Bae
1
2022
A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon. Zbl 07532101
Haar, Andrew; Radu, Petronela
1
2022
Deep learning schemes for parabolic nonlocal integro-differential equations. Zbl 1515.60249
Castro, Javier
1
2022
On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation. Zbl 1504.35141
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
1
2022
Rectifiability of divergence-free fields along invariant 2-tori. Zbl 1492.76151
Perrella, David; Pfefferlé, David; Stoyanov, Luchezar
1
2022
Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Zbl 1492.82025
Medaglia, Andrea; Tosin, Andrea; Zanella, Mattia
1
2022
Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations. Zbl 1480.35311
Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng
1
2022
Space-time analytic smoothing effect for the cubic nonlinear Schrödinger equations without pseudo-conformal invariance. Zbl 1480.35353
Hoshino, Gaku
1
2022
A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data. Zbl 1490.65183
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas
1
2022
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
32
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Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
21
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
19
2021
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
5
2021
Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172
Gala, Sadek; Ragusa, Maria Alessandra
5
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
5
2021
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
5
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
4
2021
Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083
Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F.
4
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
4
2021
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
4
2021
A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications. Zbl 1479.35226
Hamamuki, Nao; Liu, Qing
3
2021
Attraction-repulsion taxis mechanisms in a predator-prey model. Zbl 1479.35070
Bell, Jonathan; Haskell, Evan C.
3
2021
Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method. Zbl 1465.35175
Figueiredo, Giovany M.; Salirrosas, Segundo Manuel A.
3
2021
Regularity of the \(m\)-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
3
2021
The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287
Hieber, Matthias; Kress, Klaus; Stinner, Christian
2
2021
Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force. Zbl 1479.35111
Mitake, Hiroyoshi; Zhang, Longjie
2
2021
Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055
Yang, Zhipeng; Yu, Yuanyang
2
2021
High-dimensional distribution generation through deep neural networks. Zbl 1523.65017
Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut
2
2021
Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows. Zbl 1477.65169
Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo
2
2021
Multilane analysis of a viscous second-order macroscopic traffic flow model. Zbl 1465.35303
Fosu, Gabriel Obed; Tabi Oduro, Francis; Caligaris, Carlo
2
2021
Liouville type theorems for stationary Navier-Stokes equations. Zbl 1462.35113
Tsai, Tai-Peng
2
2021
Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2
2021
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2
2021
On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space. Zbl 1464.35212
Chaabani, Abdelkerim
2
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2
2021
On the existence of positive solutions to a certain class of semilinear elliptic equations. Zbl 1480.35262
Ikoma, Norihisa
1
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
1
2021
An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains. Zbl 1491.76022
Hishida, Toshiaki
1
2021
On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. Zbl 1490.76051
Natali, Fábio; Cardoso, Eleomar; Amaral, Sabrina
1
2021
On sublinear fractional Schrödinger-Poisson systems. Zbl 1479.49014
Benhassine, Abderrazek
1
2021
Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth. Zbl 1476.34104
Zhang, Xiaofei; Liu, Chungen
1
2021
Regularity properties of the cubic biharmonic Schrödinger equation on the half line. Zbl 1483.35197
Başakoğlu, Engin
1
2021
Scattering resonances for a three-dimensional subwavelength hole. Zbl 1480.35097
Fatima, Maryam; Lin, Junshan
1
2021
Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance. Zbl 1476.35246
Noguera, Norman; Pastor, Ademir
1
2021
Traveling waves for the nonlinear variational wave equation. Zbl 1480.35087
Grunert, Katrin; Reigstad, Audun
1
2021
The unique continuation property for second order evolution PDEs. Zbl 1480.35080
Choulli, Mourad
1
2021
Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 1476.35198
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
1
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
1
2021
Evolving to non-round Weingarten spheres: integer linear Hopf flows. Zbl 1480.35276
Guilfoyle, Brendan; Klingenberg, Wilhelm
1
2021
A note on 2D Navier-Stokes equations. Zbl 1476.35170
Fan, Jishan; Ozawa, Tohru
1
2021
On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations. Zbl 1476.65271
Ranocha, Hendrik; de Luna, Manuel Quezada; Ketcheson, David I.
1
2021
One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041
Sourdis, Christos
1
2021
Global existence of classical solutions to a chemotaxis-haptotaxis model. Zbl 1475.35064
Takhirov, Jozil
1
2021
Stochastic optimal transport revisited. Zbl 1461.93548
Mikami, Toshio
1
2021
Existence and nonexistence results for critical growth fractional elliptic systems. Zbl 1465.35266
Gao, Fengshuang; Guo, Yuxia
1
2021
Publisher correction to: “Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer”. Zbl 1462.35162
Sauer, Niko
1
2021
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
1
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
1
2021
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
56
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
23
2020
Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
11
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
9
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
6
2020
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
6
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
4
2020
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
4
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
4
2020
Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations. Zbl 1460.35306
Almushaira, Mustafa; Liu, Fei
4
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
3
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
3
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
3
2020
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Cited by 723 Authors

18 Jentzen, Arnulf
10 Hutzenthaler, Martin
7 Grohs, Philipp
6 Kruse, Thomas
6 Maniar, Lahcen
5 Dalcín, Lisandro D.
5 Liu, Hongyu
5 Parsani, Matteo
5 Schneider, Reinhold
4 Beck, Christian
4 Boukharfane, Radouan
4 Chorfi, Salah-Eddine
4 Cingolani, Silvia
4 Del Rey Fernández, David C.
4 Kühn, Christian
4 Nguwi, Jiang Yu
4 Privault, Nicolas
4 Sato, Takuya
4 Soresina, Cinzia
4 Warin, Xavier
4 Yang, Haizhao
3 Allalou, Chakir
3 Becker, Sebastian
3 Chan, Jesse
3 E, Weinan
3 El Guermai, Ghita
3 Figueiredo, Giovany Malcher
3 Germain, Maximilien
3 Giga, Yoshikazu
3 Hamamuki, Nao
3 Han, Jiequn
3 He, Xiaoming
3 Hornung, Fabian
3 Klein, Christian
3 Li, Bin
3 Li, Xinfu
3 Merker, Joël
3 Nakauchi, Nobumitsu
3 Naumkin, Pavel Ivanovich
3 Nguyen, Tuan-Anh
3 Nüsken, Nikolas
3 Osada, Hirofumi
3 Ozawa, Tohru
3 Petersen, Philipp Christian
3 Salirrosas, Segundo Manuel A.
3 Stoilov, Nikola M.
3 Svärd, Magnus
3 Tanaka, Kazunaga
3 von Wurstemberger, Philippe
3 Yamada, Toshihiro
3 Zhang, Zhitao
2 Almushaira, Mustafa
2 Azanzal, Achraf
2 Bell, Jonathan
2 Benth, Fred Espen
2 Byun, Sun-Sig
2 Carreño-Bolaños, Rafael
2 Chen, Jianqing
2 Chen, Zhewen
2 Cho, Youseung
2 Choulli, Mourad
2 Consolo, Giancarlo
2 Detering, Nils
2 Farwig, Reinhard
2 Galimberti, Luca
2 Gallo, Marco
2 Gopalakrishnan, Jay
2 Grifó, Gabriele
2 Gu, Yiqi
2 Guo, Zhao
2 Hartmann, Carsten
2 Haskell, Evan C.
2 Hayashi, Nakao
2 Huybrechs, Daan
2 Kalise, Dante
2 Ketcheson, David I.
2 Keyes, David Elliot
2 Khoutaibi, Abdelaziz
2 Kim, Minhyun
2 Kita, Naoyasu
2 Kuckuck, Benno
2 Kutyniok, Gitta
2 Li, Fuyi
2 Liu, Qing
2 Liu, Yikan
2 Long, Lei
2 Machihara, Shuji
2 Maierhofer, Georg
2 Maulén, Christopher
2 Melliani, Said
2 Meng, Yuxi
2 Millien, Pierre
2 Miranda, Alfredo C.
2 Nolasco, Irving Reyna
2 Nurowski, Paweł
2 Oster, Mathias
2 Oukdach, Omar
2 Palmieri, Alessandro
2 Penent, Guillaume
2 Pham, Huyên
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Cited in 171 Journals

13 Journal of Mathematical Analysis and Applications
12 Journal of Computational Physics
12 The Journal of Geometric Analysis
10 Calculus of Variations and Partial Differential Equations
10 SN Partial Differential Equations and Applications
9 SIAM Journal on Scientific Computing
9 Discrete and Continuous Dynamical Systems
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Scientific Computing
7 Journal of Differential Equations
6 Applied Mathematics and Computation
6 NoDEA. Nonlinear Differential Equations and Applications
5 Journal of Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Advances in Computational Mathematics
5 Multiscale Modeling & Simulation
5 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Elliptic and Parabolic Equations
4 Computers & Mathematics with Applications
4 Mathematics of Computation
4 SIAM Journal on Numerical Analysis
4 Studies in Applied Mathematics
4 Physica D
4 Applied Mathematics Letters
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series B
4 Advances in Nonlinear Analysis
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Evolution Equations
3 Electronic Research Archive
2 Inverse Problems
2 Nonlinearity
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Results in Mathematics
2 Annals of Global Analysis and Geometry
2 Applied Numerical Mathematics
2 Journal of Complexity
2 Constructive Approximation
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Electronic Journal of Probability
2 Finance and Stochastics
2 Mathematical Finance
2 Revista Matemática Complutense
2 Journal of Mathematical Fluid Mechanics
2 Methodology and Computing in Applied Probability
2 Qualitative Theory of Dynamical Systems
2 Quantitative Finance
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Numerical Mathematics
2 Analysis and Applications (Singapore)
2 International Journal of Computational Methods
2 Acta Numerica
2 Oberwolfach Reports
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 Communications in Computational Physics
2 Journal of Pseudo-Differential Operators and Applications
2 Statistics and Computing
2 Evolution Equations and Control Theory
2 Journal of Computational Dynamics
2 Minimax Theory and its Applications
2 SIAM Journal on Mathematics of Data Science
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Physica A
1 Ukrainian Mathematical Journal
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Calcolo
1 Information Sciences
1 Integral Equations and Operator Theory
1 International Economic Review
1 International Journal for Numerical Methods in Engineering
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Theoretical Population Biology
1 Bulletin of the Korean Mathematical Society
1 Asymptotic Analysis
1 Sugaku Expositions
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Cited in 39 Fields

256 Partial differential equations (35-XX)
115 Numerical analysis (65-XX)
54 Computer science (68-XX)
47 Fluid mechanics (76-XX)
45 Probability theory and stochastic processes (60-XX)
24 Biology and other natural sciences (92-XX)
24 Systems theory; control (93-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Differential geometry (53-XX)
13 Ordinary differential equations (34-XX)
13 Functional analysis (46-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Operator theory (47-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Mechanics of deformable solids (74-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Optics, electromagnetic theory (78-XX)
6 Integral equations (45-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Operations research, mathematical programming (90-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Potential theory (31-XX)
3 Special functions (33-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)

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