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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, M. 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

109 Publications have been cited 329 times in 295 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
46
2020
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
28
2021
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
18
2020
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
16
2021
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
16
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
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
8
2020
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
7
2022
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
5
2020
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
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
5
2021
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
4
2020
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
4
2022
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
3
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
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
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
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
Dynamical universality for random matrices. Zbl 1486.60015
Kawamoto, Yosuke; Osada, Hirofumi
3
2022
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
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
3
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
3
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
3
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.
3
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
3
2021
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
3
2022
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
3
2020
A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 07703078
Foghem Gounoue, Guy Fabrice
3
2023
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
Regularity of the \(m\)-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
3
2021
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
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
2
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
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
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2
2020
Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515
Alexopoulos, Konstantinos; Davies, Bryn
2
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
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
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
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
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
2
2020
Newton’s second law with a semiconvex potential. Zbl 1490.35272
Hynd, Ryan
2
2022
Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097
Schochet, Steve
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
Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299
Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil
2
2022
Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2
2021
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
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
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
1
2020
A game theoretical approach for a nonlinear system driven by elliptic operators. Zbl 1455.35081
Miranda, Alfredo; Rossi, Julio D.
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
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
1
2020
Partial symmetry of normalized solutions for a doubly coupled Schrödinger system. Zbl 1456.35008
Luo, Haijun; Zhang, Zhitao
1
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
1
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
1
2020
On spectral asymptotics and bifurcation for carrier equations with odd superlinear term. Zbl 1455.35097
Zhang, Yu; Yan, Baoqiang
1
2020
Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy. Zbl 1460.35232
Liu, Lishan; Sun, Fenglong; Wu, Yonghong
1
2020
Propagation, diffusion and free boundaries. Zbl 1465.35004
Du, Yihong
1
2020
Asymptotic modelling of skin-effects in coaxial cables. Zbl 1458.35400
Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick
1
2020
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
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
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
On an indefinite nonhomogeneous equation with critical exponential growth. Zbl 1520.35077
Sousa, Karla Carolina V. de; Tavares, Leandro S.
1
2023
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
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
1
2022
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
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
High-dimensional distribution generation through deep neural networks. Zbl 1523.65017
Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut
1
2021
The unique continuation property for second order evolution PDEs. Zbl 1480.35080
Choulli, Mourad
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 solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
1
2020
Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus
1
2020
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
1
2021
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
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
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
A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 07703078
Foghem Gounoue, Guy Fabrice
3
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
On an indefinite nonhomogeneous equation with critical exponential growth. Zbl 1520.35077
Sousa, Karla Carolina V. de; Tavares, Leandro S.
1
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
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
7
2022
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
4
2022
Dynamical universality for random matrices. Zbl 1486.60015
Kawamoto, Yosuke; Osada, Hirofumi
3
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
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
Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515
Alexopoulos, Konstantinos; Davies, Bryn
2
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
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
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
Newton’s second law with a semiconvex potential. Zbl 1490.35272
Hynd, Ryan
2
2022
Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097
Schochet, Steve
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
Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299
Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil
2
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
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
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
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
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
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
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
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
28
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
16
2021
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
16
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
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
5
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
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
3
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
3
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
3
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.
3
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
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
Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2
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
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
High-dimensional distribution generation through deep neural networks. Zbl 1523.65017
Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut
1
2021
The unique continuation property for second order evolution PDEs. Zbl 1480.35080
Choulli, Mourad
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
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
1
2021
Global existence of classical solutions to a chemotaxis-haptotaxis model. Zbl 1475.35064
Takhirov, Jozil
1
2021
Multilane analysis of a viscous second-order macroscopic traffic flow model. Zbl 1465.35303
Fosu, Gabriel Obed; Tabi Oduro, Francis; Caligaris, Carlo
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
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
1
2021
On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space. Zbl 1464.35212
Chaabani, Abdelkerim
1
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.
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
46
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
18
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
8
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
5
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.
3
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
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
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
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
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
3
2020
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
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
2
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
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
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2
2020
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
2
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
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
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
1
2020
A game theoretical approach for a nonlinear system driven by elliptic operators. Zbl 1455.35081
Miranda, Alfredo; Rossi, Julio D.
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
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
1
2020
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Cited by 581 Authors

16 Jentzen, Arnulf
8 Hutzenthaler, Martin
7 Grohs, Philipp
5 Dalcín, Lisandro D.
5 Kruse, Thomas
5 Parsani, Matteo
5 Schneider, Reinhold
4 Boukharfane, Radouan
4 Del Rey Fernández, David C.
4 Sato, Takuya
4 Soresina, Cinzia
4 Warin, Xavier
3 Allalou, Chakir
3 Beck, Christian
3 Becker, Sebastian
3 Chan, Jesse
3 Cingolani, Silvia
3 E, Weinan
3 Germain, Maximilien
3 Giga, Yoshikazu
3 Han, Jiequn
3 Hornung, Fabian
3 Kühn, Christian
3 Li, Bin
3 Merker, Joël
3 Nakauchi, Nobumitsu
3 Nguwi, Jiang Yu
3 Nguyen, Tuan-Anh
3 Nüsken, Nikolas
3 Osada, Hirofumi
3 Ozawa, Tohru
3 Petersen, Philipp Christian
3 Privault, Nicolas
3 Tanaka, Kazunaga
3 von Wurstemberger, Philippe
3 Yamada, Toshihiro
3 Yang, Haizhao
2 Azanzal, Achraf
2 Bell, Jonathan
2 Byun, Sun-Sig
2 Chen, Jianqing
2 Chen, Zhewen
2 Choulli, Mourad
2 Farwig, Reinhard
2 Gopalakrishnan, Jay
2 Guo, Zhao
2 Hamamuki, Nao
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 Kim, Minhyun
2 Kita, Naoyasu
2 Klein, Christian
2 Kutyniok, Gitta
2 Li, Fuyi
2 Liu, Hongyu
2 Liu, Qing
2 Long, Lei
2 Machihara, Shuji
2 Maierhofer, Georg
2 Maniar, Lahcen
2 Maulén, Christopher
2 Melliani, Said
2 Meng, Yuxi
2 Naumkin, Pavel Ivanovich
2 Nolasco, Irving Reyna
2 Nurowski, Paweł
2 Oster, Mathias
2 Palmieri, Alessandro
2 Pham, Huyên
2 Požár, Norbert
2 Ramos Quoirin, Humberto
2 Ranocha, Hendrik
2 Raslan, Mones
2 Richter, Lorenz
2 Sallandt, Leon
2 Sano, Megumi
2 Schwab, Christoph
2 Silva, Kaye O.
2 Stoilov, Nikola M.
2 Takahashi, Futoshi
2 Takamura, Hiroyuki
2 Takimoto, Kazuhiro
2 Tsuda, Kazuyuki
2 Xue, Ye
2 Yang, Minbo
2 Zhang, Fubao
2 Zhang, Zhitao
1 Abdelhedi, Wael
1 Abdeljawad, Ahmed
1 Abdellaoui, Mohammed Amin
1 Abels, Helmut
1 Agrawal, Shrey
1 Al-Aradi, Ali
1 Al Jahdali, R.
1 Albritton, Dallas
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Cited in 145 Journals

12 Journal of Mathematical Analysis and Applications
11 Journal of Computational Physics
10 The Journal of Geometric Analysis
10 Calculus of Variations and Partial Differential Equations
9 SN Partial Differential Equations and Applications
8 Journal of Scientific Computing
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 SIAM Journal on Scientific Computing
6 Applied Mathematics and Computation
6 Journal of Differential Equations
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 NoDEA. Nonlinear Differential Equations and Applications
5 Advances in Computational Mathematics
5 Discrete and Continuous Dynamical Systems
5 Multiscale Modeling & Simulation
4 Mathematics of Computation
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Mathematical Physics
3 Journal of Computational and Applied Mathematics
3 Applied Mathematics Letters
3 SIAM Journal on Mathematical Analysis
3 Journal of Evolution Equations
3 Journal of Elliptic and Parabolic Equations
2 Computers & Mathematics with Applications
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Results in Mathematics
2 SIAM Journal on Numerical Analysis
2 Annals of Global Analysis and Geometry
2 Physica D
2 Applied Numerical Mathematics
2 Constructive Approximation
2 Electronic Journal of Probability
2 Finance and Stochastics
2 Revista Matemática Complutense
2 Communications in Nonlinear Science and Numerical Simulation
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 Analysis and Applications (Singapore)
2 International Journal of Computational Methods
2 Acta Numerica
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 Statistics and Computing
2 Journal of Computational Dynamics
2 Advances in Nonlinear Analysis
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 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
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 International Economic Review
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
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 Studies in Applied Mathematics
1 Theoretical Population Biology
1 Journal of Complexity
1 Sugaku Expositions
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Topological Methods in Nonlinear Analysis
1 Applied and Computational Harmonic Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Georgian Mathematical Journal
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Applied Mathematical Finance
1 Engineering Analysis with Boundary Elements
1 Electronic Communications in Probability
1 The Journal of Fourier Analysis and Applications
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Cited in 37 Fields

192 Partial differential equations (35-XX)
95 Numerical analysis (65-XX)
44 Computer science (68-XX)
37 Probability theory and stochastic processes (60-XX)
37 Fluid mechanics (76-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Systems theory; control (93-XX)
18 Biology and other natural sciences (92-XX)
13 Differential geometry (53-XX)
12 Ordinary differential equations (34-XX)
12 Functional analysis (46-XX)
10 Operator theory (47-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Approximations and expansions (41-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Real functions (26-XX)
7 Mechanics of deformable solids (74-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Integral equations (45-XX)
5 Optics, electromagnetic theory (78-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)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-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 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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