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: 299 Publications (since 2020) References Indexed: 293 Publications with 9,369 References. all top 5 Latest Issues 5, No. 6 (2024) 5, No. 5 (2024) 5, No. 4 (2024) 5, No. 3 (2024) 5, No. 2 (2024) 5, No. 1 (2024) 4, No. 6 (2023) 4, No. 5 (2023) 4, No. 4 (2023) 4, No. 3 (2023) 4, No. 2 (2023) 4, No. 1 (2023) 3, No. 6 (2022) 3, No. 5 (2022) 3, No. 4 (2022) 3, No. 3 (2022) 3, No. 2 (2022) 3, No. 1 (2022) 2, No. 6 (2021) 2, No. 5 (2021) 2, No. 4 (2021) 2, No. 3 (2021) 2, No. 2 (2021) 2, No. 1 (2021) 1, No. 6 (2020) 1, No. 5 (2020) 1, No. 4 (2020) 1, No. 3 (2020) 1, No. 2 (2020) 1, No. 1 (2020) all top 5 Authors 5 Jentzen, Arnulf 5 Ozawa, Tohru 3 Choulli, Mourad 3 Grunert, Katrin 3 Hayashi, Nakao 3 Melenk, Jens Markus 3 Shimizu, Senjo 3 Zhang, Zhitao 2 Alves, Claudianor Oliveira 2 Bartsch, Thomas J. 2 Bretti, Gabriella 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 Hamamuki, Nao 2 Hutzenthaler, Martin 2 Inui, Takahisa 2 Ishige, Kazuhiro 2 Iwabuchi, Tsukasa 2 Kaltenbacher, Manfred 2 Kruse, Thomas 2 Liu, Zhaoli 2 Mandel, Rainer 2 Motreanu, Dumitru 2 Muñoz, Claudio 2 Naumkin, Pavel Ivanovich 2 Nguemfouo, Marcial 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 Takahashi, Futoshi 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 Albanez, Débora A. F. 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 Arcoya, David 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, Christian 1 Beck, Geoffrey M. 1 Becker, Sebastian 1 Bell, Jonathan 1 Bellassoued, Mourad 1 Bellingeri, Carlo 1 Benhassine, Abderrazek 1 Benvenutti, Maicon José 1 Berntsson, Fredrik 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 ...and 459 more Authors all top 5 Fields 249 Partial differential equations (35-XX) 54 Numerical analysis (65-XX) 41 Fluid mechanics (76-XX) 23 Operator theory (47-XX) 16 Probability theory and stochastic processes (60-XX) 15 Ordinary differential equations (34-XX) 15 Functional analysis (46-XX) 15 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Biology and other natural sciences (92-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 10 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 9 Real functions (26-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Systems theory; control (93-XX) 7 Integral equations (45-XX) 7 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 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-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 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 164 Publications have been cited 632 times in 572 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 69 2020 Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173 Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli 39 2020 Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 1538.65259 Pham, Huyên; Warin, Xavier; Germain, Maximilien 36 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 28 2021 Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273 E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 26 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 16 2020 Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232 Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora 13 2022 Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237 Kuehn, Christian; Soresina, Cinzia 10 2020 (Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158 Abels, Helmut 8 2022 Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014 Sauer, Niko 7 2020 Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062 Xu, Xiangsheng 7 2020 Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005 Klein, Christian; Riton, Julien; Stoilov, Nikola 7 2021 A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 1538.46037 Foghem Gounoue, Guy Fabrice 7 2023 Liouville type theorems for stationary Navier-Stokes equations. Zbl 1462.35113 Tsai, Tai-Peng 6 2021 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. 6 2020 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. 6 2021 Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249 Sato, Takuya 6 2021 Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032 Coclite, G. M.; Coclite, M. M. 6 2020 Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case. Zbl 1500.35161 Carrião, Paulo C.; Miyagaki, Olímpio H.; Vicente, André 6 2022 Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268 Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L. 6 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003 Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 6 2021 Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102 Giga, Yoshikazu; Ngô, Quốc Anh 5 2022 Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379 Suzuki, Masamitsu 5 2021 Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224 Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique 5 2021 Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265 Takimoto, Kazuhiro 5 2021 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 5 2020 Attraction-repulsion taxis mechanisms in a predator-prey model. Zbl 1479.35070 Bell, Jonathan; Haskell, Evan C. 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 Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 1476.35198 Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi 5 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 5 2021 Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038 Merker, Joël 5 2022 Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864 Tsutaya, Kimitoshi; Wakasugi, Yuta 4 2022 Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097 Schochet, Steve 4 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 4 2022 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 Deep learning schemes for parabolic nonlocal integro-differential equations. Zbl 1515.60249 Castro, Javier 4 2022 Propagation, diffusion and free boundaries. Zbl 1465.35004 Du, Yihong 4 2020 Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133 Maulén, Christopher; Muñoz, Claudio 4 2020 Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187 Katayama, Soichiro; Sakoda, Daisuke 4 2020 A game theoretical approach for a nonlinear system driven by elliptic operators. Zbl 1455.35081 Miranda, Alfredo; Rossi, Julio D. 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 Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299 Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil 4 2022 Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055 Yang, Zhipeng; Yu, Yuanyang 4 2021 Transport and continuity equations with (very) rough noise. Zbl 1479.35966 Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N. 4 2021 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 3 2022 Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515 Alexopoulos, Konstantinos; Davies, Bryn 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 Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016 Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred 3 2020 Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411 Bae, Hantaek 3 2020 Regularity of the \(m\)-symphonic map. Zbl 1464.58005 Misawa, Masashi; Nakauchi, Nobumitsu 3 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. 3 2021 Uniform estimates for fractional operators. Zbl 1464.35176 Farwig, Reinhard; Tsuda, Kazuyuki 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 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 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 Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems. Zbl 1476.65323 Unger, Gerhard 3 2021 Hardy type inequalities with spherical derivatives. Zbl 1451.26021 Bez, Neal; Machihara, Shuji; Ozawa, Tohru 3 2020 Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093 Sun, Dongdong; Zhang, Zhitao 3 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 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 Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Zbl 1492.82025 Medaglia, Andrea; Tosin, Andrea; Zanella, Mattia 3 2022 Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. Zbl 1498.35033 Consolo, Giancarlo; Grifó, Gabriele 3 2022 Nonlinear Schrödinger equations with the third order dispersion on modulation spaces. Zbl 1501.35366 Carvajal, X.; Panthee, M. 3 2022 Well-posedness for the initial value problem associated to the Zakharov-Kuznetsov (ZK) equation in asymmetric spaces. Zbl 1514.35392 Deléage, Émile; Linares, Felipe 3 2023 Global logarithmic stability of a Cauchy problem for anisotropic wave equations. Zbl 1518.35171 Bellassoued, Mourad; Choulli, Mourad 3 2023 On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155 Abdellaoui, M.; Redwane, H. 3 2022 Newton’s second law with a semiconvex potential. Zbl 1490.35272 Hynd, Ryan 2 2022 Cauchy problem for the ES-BGK model with the correct Prandtl number. Zbl 1486.82035 Son, Sung-jun; Yun, Seok-Bae 2 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 2 2022 Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. Zbl 1490.35418 Gustafson, Stephen; Inui, Takahisa 2 2022 Global in time solvability for a semilinear heat equation without the self-similar structure. Zbl 1487.35116 Fujishima, Yohei; Ioku, Norisuke 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 A continuum framework for phase field with bulk-surface dynamics. Zbl 1513.74138 Espath, Luis 2 2023 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 Higher integrability for doubly nonlinear parabolic systems. Zbl 1501.35097 Bögelein, Verena; Duzaar, Frank; Scheven, Christoph 2 2022 Finite element approximation of invariant manifolds by the parameterization method. Zbl 1538.65358 Gonzalez, Jorge; James, J. D. Mireles; Tuncer, Necibe 2 2022 Stochastic optimal transport revisited. Zbl 1461.93548 Mikami, Toshio 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 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 Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. Zbl 1541.35456 Hamano, Masaru; Ikeda, Masahiro; Inui, Takahisa; Shimizu, Ikkei 2 2024 Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033 Bretti, Gabriella; Gosse, Laurent 2 2021 An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains. Zbl 1491.76022 Hishida, Toshiaki 2 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 2 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 Scattering resonances for a three-dimensional subwavelength hole. Zbl 1480.35097 Fatima, Maryam; Lin, Junshan 2 2021 Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance. Zbl 1476.35246 Noguera, Norman; Pastor, Ademir 2 2021 High-dimensional distribution generation through deep neural networks. Zbl 1523.65017 Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut 2 2021 The unique continuation property for second order evolution PDEs. Zbl 1480.35080 Choulli, Mourad 2 2021 The exterior Calderón operator for non-spherical objects. Zbl 1455.35253 Kristensson, Gerhard; Stratis, Ioannis G.; Wellander, Niklas; Yannacopoulos, Athanasios N. 2 2020 Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. Zbl 1541.35456 Hamano, Masaru; Ikeda, Masahiro; Inui, Takahisa; Shimizu, Ikkei 2 2024 Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials. Zbl 1541.35154 Dicke, Alexander; Seelmann, Albrecht; Veselić, Ivan 1 2024 The point scatterer approximation for wave dynamics. Zbl 07930284 Mantile, Andrea; Posilicano, Andrea 1 2024 A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces. Zbl 1538.46037 Foghem Gounoue, Guy Fabrice 7 2023 Well-posedness for the initial value problem associated to the Zakharov-Kuznetsov (ZK) equation in asymmetric spaces. Zbl 1514.35392 Deléage, Émile; Linares, Felipe 3 2023 Global logarithmic stability of a Cauchy problem for anisotropic wave equations. Zbl 1518.35171 Bellassoued, Mourad; Choulli, Mourad 3 2023 A continuum framework for phase field with bulk-surface dynamics. Zbl 1513.74138 Espath, Luis 2 2023 Higher-order error estimates for physics-informed neural networks approximating the primitive equations. Zbl 1529.35517 Hu, Ruimeng; Lin, Quyuan; Raydan, Alan; Tang, Sui 2 2023 On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena. Zbl 1502.35163 Choi, Young-Pil 1 2023 Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet. Zbl 1504.60103 Setayeshgar, Leila 1 2023 Fourth-order nonlinear degenerate problem for image decomposition. Zbl 1521.35212 Nokrane, Ahmed; Alaa, Nour Eddine; Aqel, Fatima 1 2023 On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam. Zbl 1525.76008 Amorim, Paulo; Dias, João-Paulo; Martins, Assis F. 1 2023 Energy equality of MHD system under a weaker condition on magnetic field. Zbl 1522.35404 Eguchi, Taichi 1 2023 Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus. Zbl 1518.35214 Takahashi, Akihiko; Yamada, Toshihiro 1 2023 On an indefinite nonhomogeneous equation with critical exponential growth. Zbl 1520.35077 Sousa, Karla Carolina V. de; Tavares, Leandro S. 1 2023 Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator. Zbl 1514.35452 Alves, Claudianor O.; Boudjeriou, Tahir 1 2023 Existence of solutions for resonant double phase problems with mixed boundary value conditions. Zbl 1518.35280 Yang, Yihao; Liu, Wulong; Winkert, Patrick; Yan, Xingye 1 2023 General decay of the solution to a nonlinear viscoelastic beam with delay. Zbl 1518.35106 Khemmoudj, Ammar 1 2023 On the antimaximum principle for the \(p\)-Laplacian and its sublinear perturbations. Zbl 1518.35397 Bobkov, Vladimir; Tanaka, Mieko 1 2023 Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas. Zbl 1532.65100 Cheng, Hanz Martin; ten Thije Boonkkamp, Jan; Janssen, Jesper; Mihailova, Diana; van Dijk, Jan 1 2023 Besov regularity of inhomogeneous parabolic PDEs. Zbl 1527.35114 Schneider, Cornelia; Szemenyei, Flóra Orsolya 1 2023 Neural networks for first order HJB equations and application to front propagation with obstacle terms. Zbl 1527.35140 Bokanowski, Olivier; Prost, Averil; Warin, Xavier 1 2023 Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232 Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora 13 2022 (Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158 Abels, Helmut 8 2022 Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case. Zbl 1500.35161 Carrião, Paulo C.; Miyagaki, Olímpio H.; Vicente, André 6 2022 Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102 Giga, Yoshikazu; Ngô, Quốc Anh 5 2022 Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038 Merker, Joël 5 2022 Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864 Tsutaya, Kimitoshi; Wakasugi, Yuta 4 2022 Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097 Schochet, Steve 4 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 4 2022 Deep learning schemes for parabolic nonlocal integro-differential equations. Zbl 1515.60249 Castro, Javier 4 2022 Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299 Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil 4 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 3 2022 Asymptotic analysis of subwavelength halide perovskite resonators. Zbl 1504.35515 Alexopoulos, Konstantinos; Davies, Bryn 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 Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Zbl 1492.82025 Medaglia, Andrea; Tosin, Andrea; Zanella, Mattia 3 2022 Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. Zbl 1498.35033 Consolo, Giancarlo; Grifó, Gabriele 3 2022 Nonlinear Schrödinger equations with the third order dispersion on modulation spaces. Zbl 1501.35366 Carvajal, X.; Panthee, M. 3 2022 On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155 Abdellaoui, M.; Redwane, H. 3 2022 Newton’s second law with a semiconvex potential. Zbl 1490.35272 Hynd, Ryan 2 2022 Cauchy problem for the ES-BGK model with the correct Prandtl number. Zbl 1486.82035 Son, Sung-jun; Yun, Seok-Bae 2 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 2 2022 Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. Zbl 1490.35418 Gustafson, Stephen; Inui, Takahisa 2 2022 Global in time solvability for a semilinear heat equation without the self-similar structure. Zbl 1487.35116 Fujishima, Yohei; Ioku, Norisuke 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 Higher integrability for doubly nonlinear parabolic systems. Zbl 1501.35097 Bögelein, Verena; Duzaar, Frank; Scheven, Christoph 2 2022 Finite element approximation of invariant manifolds by the parameterization method. Zbl 1538.65358 Gonzalez, Jorge; James, J. D. Mireles; Tuncer, Necibe 2 2022 Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. III: Unstable limit at infinity. Zbl 1495.35039 Pauthier, Antoine; Poláčik, Peter 2 2022 Rectifiability of divergence-free fields along invariant 2-tori. 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Zbl 1523.65017 Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut 2 2021 ...and 64 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,027 Authors 22 Jentzen, Arnulf 11 Hutzenthaler, Martin 8 Dalcín, Lisandro D. 8 Grohs, Philipp 8 Liu, Hongyu 8 Parsani, Matteo 7 Maniar, Lahcen 6 Del Rey Fernández, David C. 6 Kruse, Thomas 6 Schneider, Reinhold 5 Beck, Christian 5 Chorfi, Salah-Eddine 5 Cingolani, Silvia 5 Klein, Christian 5 Soresina, Cinzia 5 Svärd, Magnus 5 Yang, Haizhao 4 Becker, Sebastian 4 Boukharfane, Radouan 4 Choulli, Mourad 4 Han, Jiequn 4 Kühn, Christian 4 Li, Xinfu 4 Merker, Joël 4 Nguwi, Jiang Yu 4 Nguyen, Tuan-Anh 4 Ozawa, Tohru 4 Privault, Nicolas 4 Ranocha, Hendrik 4 Richter, Lorenz 4 Sato, Takuya 4 Sprekeler, Timo 4 Stoilov, Nikola M. 4 Takimoto, Kazuhiro 4 Tanaka, Kazunaga 4 von Wurstemberger, Philippe 4 Warin, Xavier 3 Abels, Helmut 3 Allalou, Chakir 3 Byun, Sun-Sig 3 Chan, Jesse 3 Chapko, Roman 3 Cho, Youseung 3 E, Weinan 3 El Guermai, Ghita 3 Farwig, Reinhard 3 Feng, Xiaojing 3 Figueiredo, Giovany Malcher 3 Gallo, Marco 3 Germain, Maximilien 3 Giga, Yoshikazu 3 Gonon, Lukas 3 Hamamuki, Nao 3 Hartmann, Carsten 3 He, Xiaoming 3 Hornung, Fabian 3 Huybrechs, Daan 3 Kim, Minhyun 3 Kuckuck, Benno 3 Li, Bin 3 Liu, Yanyan 3 Long, Lei 3 Lv, Ying 3 Medaglia, Andrea 3 Meng, Yuxi 3 Miranda, Alfredo C. 3 Nakauchi, Nobumitsu 3 Naumkin, Pavel Ivanovich 3 Nolasco, Irving Reyna 3 Nurowski, Paweł 3 Nüsken, Nikolas 3 Osada, Hirofumi 3 Ou, Zengqi 3 Petersen, Philipp Christian 3 Ribera Borrell, Enric 3 Rossi, Julio Daniel 3 Salirrosas, Segundo Manuel A. 3 Tsuda, Kazuyuki 3 Yamada, Toshihiro 3 Yang, Minsuk 3 Zanella, Mattia 3 Zhang, Fubao 3 Zhang, Zhitao 3 Zhao, Leiga 2 Almushaira, Mustafa 2 Ammari, Habib 2 Aurazo-Alvarez, Leithold L. 2 Azanzal, Achraf 2 Bell, Jonathan 2 Ben Rached, Nadhir 2 Benth, Fred Espen 2 Borachok, Ihor 2 Boutaayamou, Idriss 2 Cai, Li 2 Carpenter, Mark H. 2 Carreño-Bolaños, Rafael 2 Carreño-Diaz, J. F. 2 Carvajal, Xavier Paredes 2 Castro, Javier Gutiérrez 2 Chen, Bochao ...and 927 more Authors all top 5 Cited in 212 Journals 22 Journal of Mathematical Analysis and Applications 20 Journal of Computational Physics 17 Journal of Differential Equations 16 The Journal of Geometric Analysis 15 Calculus of Variations and Partial Differential Equations 14 SN Partial Differential Equations and Applications 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 SIAM Journal on Scientific Computing 11 Discrete and Continuous Dynamical Systems 10 Computers & Mathematics with Applications 9 NoDEA. 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