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: Indexed cover-to-cover Documents Indexed: 218 Publications (since 2020) References Indexed: 213 Publications with 6,608 References. all top 5 Latest Issues 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 3 Jentzen, Arnulf 3 Melenk, Jens Markus 3 Ozawa, Tohru 3 Zhang, Zhitao 2 Bartsch, Thomas J. 2 Bretti, Gabriella 2 Coclite, Giuseppe Maria 2 Da Silva, Edcarlos Domingos 2 Dalcín, Lisandro D. 2 Du, Yihong 2 Figueiredo, Giovany Malcher 2 Gala, Sadek 2 Giga, Yoshikazu 2 Gosse, Laurent 2 Hamamuki, Nao 2 Hayashi, Nakao 2 Hutzenthaler, Martin 2 Kaltenbacher, Manfred 2 Kruse, Thomas 2 Liu, Zhaoli 2 Mandel, Rainer 2 Ogawa, Takayoshi 2 Pan, Xingbin 2 Parsani, Matteo 2 Ragusa, Maria Alessandra 2 Rieder, Alexander 2 Sauer, Niko 2 Sayas, Francisco-Javier 2 Shimizu, Senjo 2 Taniuchi, Yasushi 2 Tsai, Tai-Peng 2 Zanella, Mattia 1 Abdellaoui, Mohammed Amin 1 Abels, Helmut 1 Abta, Abdelhadi 1 Alejo, Miguel A. 1 Alexopoulos, Konstantinos 1 Almushaira, Mustafa 1 Aloui, Faouzia 1 Alves, Claudianor Oliveira 1 Amaral, Sabrina 1 Anthonissen, Martijn Johannes Hermanus 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 Baldassari, Lorenzo 1 Barles, Guy 1 Başakoğlu, Engin 1 Beck, Geoffrey M. 1 Bell, Jonathan 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 Bo, Xiaomeng 1 Bögelein, Verena 1 Bölcskei, Helmut 1 Borachok, Ihor 1 Bottazzi, Emanuele 1 Boutayeb, Salahaddine 1 Buchholz, Simone 1 Bueno, Hamilton P. 1 Cai, Li 1 Caligaris, Carlo 1 Cardoso, Eleomar jun. 1 Carpenter, Mark H. 1 Carrião, Paulo Cesar 1 Carrisi, Maria Cristina 1 Carvajal, Xavier Paredes 1 Castillo, Ricardo 1 Castro, Javier Gutiérrez 1 Cavalcante, Márcio André Araújo 1 Cavalcante, Thiago R. 1 Châabani, Abdelkerim 1 Chaillat, Stéphanie 1 Chamekh, Mourad 1 Chapko, Roman 1 Chen, Hongge 1 Chen, Hua 1 Chen, Lung-Hui 1 Cheng, Xu 1 Chertock, Alina E. 1 Chhetri, Maya 1 Choi, Young-Pil 1 Choulli, Mourad 1 Chtioui, Hichem 1 Coclite, Mario Michele 1 Consolo, Giancarlo 1 Corcho, Adán J. 1 Crispo, Francesca 1 Cygan, Szymon 1 Darbas, Marion ...and 313 more Authors all top 5 Fields 185 Partial differential equations (35-XX) 39 Numerical analysis (65-XX) 32 Fluid mechanics (76-XX) 17 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 12 Biology and other natural sciences (92-XX) 10 Differential geometry (53-XX) 10 Probability theory and stochastic processes (60-XX) 10 Optics, electromagnetic theory (78-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 218 times in 192 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 1455.65200Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh 33 2020 Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723Pham, Huyên; Warin, Xavier; Germain, Maximilien 20 2021 Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 11 2021 Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo 10 2020 Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli 10 2020 Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101Nüsken, Nikolas; Richter, Lorenz 10 2021 Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237Kuehn, Christian; Soresina, Cinzia 8 2020 Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062Xu, Xiangsheng 4 2020 Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172Gala, Sadek; Ragusa, Maria Alessandra 4 2021 Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249Sato, Takuya 4 2021 Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133Maulén, Christopher; Muñoz, Claudio 3 2020 Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032Coclite, G. M.; Coclite, M. M. 3 2020 Hardy type inequalities with spherical derivatives. Zbl 1451.26021Bez, 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 1452.65381Gibbs, 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 1456.35080Giga, Yoshikazu; Požár, Norbert 3 2020 Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190Silva, Kaye; Sousa, Steffânio M. 3 2020 Attraction-repulsion taxis mechanisms in a predator-prey model. Zbl 1479.35070Bell, Jonathan; Haskell, Evan C. 3 2021 Transport and continuity equations with (very) rough noise. Zbl 1479.35966Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N. 3 2021 Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred 3 2020 Regularity of the \(m\)-symphonic map. Zbl 1464.58005Misawa, Masashi; Nakauchi, Nobumitsu 3 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 3 2021 Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora 3 2022 Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187Katayama, Soichiro; Sakoda, Daisuke 2 2020 Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph 2 2020 Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452Han, Zhiqing; Xue, Ye 2 2020 The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196Cai, Li; Zhang, Fubao 2 2020 Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005Klein, Christian; Riton, Julien; Stoilov, Nikola 2 2021 Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L. 2 2021 Uniform estimates for fractional operators. Zbl 1464.35176Farwig, Reinhard; Tsuda, Kazuyuki 2 2021 (Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 07451783Abels, Helmut 2 2022 On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155Abdellaoui, M.; Redwane, H. 2 2022 Dynamical universality for random matrices. Zbl 1486.60015Kawamoto, Yosuke; Osada, Hirofumi 2 2022 Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027Habibi, Sadaf; Takahashi, Futoshi 2 2022 Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864Tsutaya, Kimitoshi; Wakasugi, Yuta 2 2022 Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009Estrada, Ricardo 1 2020 Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093Sun, Dongdong; Zhang, Zhitao 1 2020 The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations. Zbl 1458.35161Abdullah Sharaf, Khadijah; Chtioui, Hichem 1 2020 Stability analysis of a delayed SIR epidemic model with diffusion and saturated incidence rate. Zbl 1454.35391Abta, Abdelhadi; Boutayeb, Salahaddine; Laarabi, Hassan; Rachik, Mostafa; Alaoui, Hamad Talibi 1 2020 Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng 1 2020 ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms. Zbl 1458.35087Kitano, Shuhei 1 2020 Sweeping preconditioners for stratified media in the presence of reflections. Zbl 1455.65044Preuß, Janosch; Hohage, Thorsten; Lehrenfeld, Christoph 1 2020 Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027Bartsch, Thomas; Guo, Qianqiao 1 2020 Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy. Zbl 1460.35232Liu, Lishan; Sun, Fenglong; Wu, Yonghong 1 2020 Propagation, diffusion and free boundaries. Zbl 1465.35004Du, Yihong 1 2020 Asymptotic modelling of skin-effects in coaxial cables. Zbl 1458.35400Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick 1 2020 Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033Bretti, Gabriella; Gosse, Laurent 1 2021 On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. Zbl 1490.76051Natali, Fábio; Cardoso, Eleomar; Amaral, Sabrina 1 2021 The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287Hieber, Matthias; Kress, Klaus; Stinner, Christian 1 2021 Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force. Zbl 1479.35111Mitake, Hiroyoshi; Zhang, Longjie 1 2021 Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055Yang, Zhipeng; Yu, Yuanyang 1 2021 Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411Bae, Hantaek 1 2020 Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014Sauer, Niko 1 2020 Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus 1 2020 Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379Suzuki, Masamitsu 1 2021 Global existence of classical solutions to a chemotaxis-haptotaxis model. Zbl 1475.35064Takhirov, Jozil 1 2021 Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265Takimoto, Kazuhiro 1 2021 Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327Ichihara, Naoyuki 1 2021 Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique 1 2021 On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis 1 2021 On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115dos Santos, E. B.; Leitão, R. 1 2021 Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F. 1 2021 High-dimensional distribution generation through deep neural networks. Zbl 07450779Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut 1 2021 Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069Barles, G. 1 2021 A note on 2D Navier-Stokes equations. Zbl 1476.35170Fan, Jishan; Ozawa, Tohru 1 2021 One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041Sourdis, Christos 1 2021 Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038Merker, Joël 1 2022 Ground states for Maxwell’s equations in nonlocal nonlinear media. Zbl 1489.35089Mandel, Rainer 1 2022 Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142Quittner, Pavol 1 2022 Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. Zbl 1484.35348Osada, Yuki 1 2022 Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations. Zbl 1480.35311Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 1 2022 Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097Schochet, Steve 1 2022 Transport equations with inflow boundary conditions. Zbl 1491.35386Scott, L. Ridgway; Pollock, Sara 1 2022 A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data. Zbl 1490.65183Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas 1 2022 Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Zbl 1492.82025Medaglia, Andrea; Tosin, Andrea; Zanella, Mattia 1 2022 Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil 1 2022 Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). Zbl 1501.35059Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi 1 2022 On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation. Zbl 1504.35141Coclite, Giuseppe Maria; di Ruvo, Lorenzo 1 2022 Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102Giga, Yoshikazu; Ngô, Quốc Anh 1 2022 Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora 3 2022 (Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 07451783Abels, Helmut 2 2022 On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155Abdellaoui, M.; Redwane, H. 2 2022 Dynamical universality for random matrices. Zbl 1486.60015Kawamoto, Yosuke; Osada, Hirofumi 2 2022 Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027Habibi, Sadaf; Takahashi, Futoshi 2 2022 Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864Tsutaya, Kimitoshi; Wakasugi, Yuta 2 2022 Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038Merker, Joël 1 2022 Ground states for Maxwell’s equations in nonlocal nonlinear media. Zbl 1489.35089Mandel, Rainer 1 2022 Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142Quittner, Pavol 1 2022 Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. Zbl 1484.35348Osada, Yuki 1 2022 Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations. Zbl 1480.35311Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 1 2022 Sobolev estimates for non-uniformly parabolic PDEs. Zbl 1484.35097Schochet, Steve 1 2022 Transport equations with inflow boundary conditions. Zbl 1491.35386Scott, L. Ridgway; Pollock, Sara 1 2022 A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data. Zbl 1490.65183Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas 1 2022 Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Zbl 1492.82025Medaglia, Andrea; Tosin, Andrea; Zanella, Mattia 1 2022 Weak-strong uniqueness for the isentropic Euler equations with possible vacuum. Zbl 1496.35299Ghoshal, Shyam Sundar; Jana, Animesh; Wiedemann, Emil 1 2022 Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). Zbl 1501.35059Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi 1 2022 On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation. Zbl 1504.35141Coclite, Giuseppe Maria; di Ruvo, Lorenzo 1 2022 Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102Giga, Yoshikazu; Ngô, Quốc Anh 1 2022 Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723Pham, Huyên; Warin, Xavier; Germain, Maximilien 20 2021 Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 11 2021 Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101Nüsken, Nikolas; Richter, Lorenz 10 2021 Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172Gala, Sadek; Ragusa, Maria Alessandra 4 2021 Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249Sato, Takuya 4 2021 Attraction-repulsion taxis mechanisms in a predator-prey model. Zbl 1479.35070Bell, Jonathan; Haskell, Evan C. 3 2021 Transport and continuity equations with (very) rough noise. Zbl 1479.35966Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N. 3 2021 Regularity of the \(m\)-symphonic map. Zbl 1464.58005Misawa, Masashi; Nakauchi, Nobumitsu 3 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 3 2021 Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005Klein, Christian; Riton, Julien; Stoilov, Nikola 2 2021 Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 1507.35268Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L. 2 2021 Uniform estimates for fractional operators. Zbl 1464.35176Farwig, Reinhard; Tsuda, Kazuyuki 2 2021 Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033Bretti, Gabriella; Gosse, Laurent 1 2021 On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. Zbl 1490.76051Natali, Fábio; Cardoso, Eleomar; Amaral, Sabrina 1 2021 The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287Hieber, Matthias; Kress, Klaus; Stinner, Christian 1 2021 Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force. Zbl 1479.35111Mitake, Hiroyoshi; Zhang, Longjie 1 2021 Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055Yang, Zhipeng; Yu, Yuanyang 1 2021 Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379Suzuki, Masamitsu 1 2021 Global existence of classical solutions to a chemotaxis-haptotaxis model. Zbl 1475.35064Takhirov, Jozil 1 2021 Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. Zbl 1465.35265Takimoto, Kazuhiro 1 2021 Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327Ichihara, Naoyuki 1 2021 Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique 1 2021 On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis 1 2021 On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115dos Santos, E. B.; Leitão, R. 1 2021 Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F. 1 2021 High-dimensional distribution generation through deep neural networks. Zbl 07450779Perekrestenko, Dmytro; Eberhard, Léandre; Bölcskei, Helmut 1 2021 Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069Barles, G. 1 2021 A note on 2D Navier-Stokes equations. Zbl 1476.35170Fan, Jishan; Ozawa, Tohru 1 2021 One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041Sourdis, Christos 1 2021 A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh 33 2020 Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo 10 2020 Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli 10 2020 Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237Kuehn, Christian; Soresina, Cinzia 8 2020 Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062Xu, Xiangsheng 4 2020 Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133Maulén, Christopher; Muñoz, Claudio 3 2020 Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032Coclite, G. M.; Coclite, M. M. 3 2020 Hardy type inequalities with spherical derivatives. Zbl 1451.26021Bez, 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 1452.65381Gibbs, 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 1456.35080Giga, Yoshikazu; Požár, Norbert 3 2020 Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190Silva, Kaye; Sousa, Steffânio M. 3 2020 Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred 3 2020 Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187Katayama, Soichiro; Sakoda, Daisuke 2 2020 Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph 2 2020 Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452Han, Zhiqing; Xue, Ye 2 2020 The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196Cai, Li; Zhang, Fubao 2 2020 Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009Estrada, Ricardo 1 2020 Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093Sun, Dongdong; Zhang, Zhitao 1 2020 The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations. Zbl 1458.35161Abdullah Sharaf, Khadijah; Chtioui, Hichem 1 2020 Stability analysis of a delayed SIR epidemic model with diffusion and saturated incidence rate. Zbl 1454.35391Abta, Abdelhadi; Boutayeb, Salahaddine; Laarabi, Hassan; Rachik, Mostafa; Alaoui, Hamad Talibi 1 2020 Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng 1 2020 ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms. Zbl 1458.35087Kitano, Shuhei 1 2020 Sweeping preconditioners for stratified media in the presence of reflections. Zbl 1455.65044Preuß, Janosch; Hohage, Thorsten; Lehrenfeld, Christoph 1 2020 Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027Bartsch, Thomas; Guo, Qianqiao 1 2020 Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy. Zbl 1460.35232Liu, Lishan; Sun, Fenglong; Wu, Yonghong 1 2020 Propagation, diffusion and free boundaries. Zbl 1465.35004Du, Yihong 1 2020 Asymptotic modelling of skin-effects in coaxial cables. Zbl 1458.35400Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick 1 2020 Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411Bae, Hantaek 1 2020 Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014Sauer, Niko 1 2020 Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus 1 2020 all cited Publications top 5 cited Publications all top 5 Cited by 392 Authors 12 Jentzen, Arnulf 7 Hutzenthaler, Martin 6 Grohs, Philipp 5 Dalcín, Lisandro D. 5 Parsani, Matteo 4 Boukharfane, Radouan 4 Del Rey Fernández, David C. 4 Kruse, Thomas 4 Schneider, Reinhold 4 Soresina, Cinzia 4 Warin, Xavier 3 Beck, Christian 3 Chan, Jesse 3 Germain, Maximilien 3 Han, Jiequn 3 Hornung, Fabian 3 Kühn, Christian 3 Nakauchi, Nobumitsu 3 Nguyen, Tuan-Anh 3 Petersen, Philipp Christian 3 Sato, Takuya 2 Becker, Sebastian 2 Bell, Jonathan 2 Cai, Li 2 Cingolani, Silvia 2 E, Weinan 2 Farwig, Reinhard 2 Giga, Yoshikazu 2 Gopalakrishnan, Jay 2 Guo, Zhao 2 Haskell, Evan C. 2 Huybrechs, Daan 2 Kalise, Dante 2 Keyes, David Elliot 2 Kita, Naoyasu 2 Kutyniok, Gitta 2 Liu, Hongyu 2 Machihara, Shuji 2 Maierhofer, Georg 2 Nolasco, Irving Reyna 2 Nüsken, Nikolas 2 Osada, Hirofumi 2 Oster, Mathias 2 Ozawa, Tohru 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 Takahashi, Futoshi 2 Takamura, Hiroyuki 2 Tanaka, Kazunaga 2 Tsuda, Kazuyuki 2 von Wurstemberger, Philippe 2 Xue, Ye 2 Yang, Haizhao 2 Yang, Minbo 2 Zhang, Fubao 1 Abdelhedi, Wael 1 Abdeljawad, Ahmed 1 Abdellaoui, Mohammed Amin 1 Al-Aradi, Ali 1 Al Jahdali, R. 1 Albritton, Dallas 1 Aldhafeeri, Anwar A. 1 Alejo, Miguel A. 1 Alghanemi, Azeb 1 Alla, Alessandro 1 Allalou, Chakir 1 Ammari, Habib M. 1 Angulo Pava, Jaime 1 Azanzal, Achraf 1 Bae, Hantaek 1 Bai, Zhengjian 1 Barker, Tobias 1 Bartsch, Thomas J. 1 Bechtold, Florian 1 Beck, Geoffrey M. 1 Becker, Simon 1 Bencomo, Mario J. 1 Beni Hamad, Akram 1 Berglund, Nils 1 Berner, Julius 1 Bet, Gianmarco 1 Bez, Neal 1 Bick, Christian 1 Braunwarth, Ramon 1 Breden, Maxime 1 Bretti, Gabriella 1 Bringedal, Carina 1 Carpenter, Mark H. 1 Chaker, Jamil 1 Chapko, Roman 1 Chasseigne, Emmanuel ...and 292 more Authors all top 5 Cited in 106 Journals 9 Journal of Computational Physics 9 Journal of Mathematical Analysis and Applications 8 Calculus of Variations and Partial Differential Equations 6 SIAM Journal on Scientific Computing 5 Applied Mathematics and Computation 5 Journal of Differential Equations 5 Journal of Scientific Computing 4 Mathematics of Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Advances in Computational Mathematics 4 Discrete and Continuous Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series S 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics Letters 3 The Journal of Geometric Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 NoDEA. Nonlinear Differential Equations and Applications 3 SN Partial Differential Equations and Applications 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Constructive Approximation 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Multiscale Modeling & Simulation 2 Analysis and Applications (Singapore) 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Journal of Computational Dynamics 2 Journal of Elliptic and Parabolic Equations 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Calcolo 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Theoretical Population Biology 1 Annals of Global Analysis and Geometry 1 Physica D 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 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 St. Petersburg 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 Journal of Probability 1 Electronic Communications in Probability 1 Finance and Stochastics 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Journal of Biological Systems 1 Methodology and Computing in Applied Probability 1 Lobachevskii Journal of Mathematics 1 Advances in Geometry 1 Quantitative Finance 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 International Journal of Biomathematics 1 SIAM Journal on Financial Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Probability Surveys 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Statistics and Computing 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B ...and 6 more Journals all top 5 Cited in 33 Fields 125 Partial differential equations (35-XX) 71 Numerical analysis (65-XX) 30 Computer science (68-XX) 25 Probability theory and stochastic processes (60-XX) 24 Fluid mechanics (76-XX) 17 Biology and other natural sciences (92-XX) 12 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Functional analysis (46-XX) 6 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 6 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year