arXiv math.AP Analysis of PDEs
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Reposted by arXiv math.AP Analysis of PDEs
Deepak Gupta, Himanshu Pandey, Ratikanta Behera: Wavelet-Accelerated Physics-Informed Quantum Neural Network for Multiscale Partial Differential Equations https://arxiv.org/abs/2512.08256 https://arxiv.org/pdf/2512.08256 https://arxiv.org/html/2512.08256
December 10, 2025 at 6:33 AM
Deepak Gupta, Himanshu Pandey, Ratikanta Behera: Wavelet-Accelerated Physics-Informed Quantum Neural Network for Multiscale Partial Differential Equations https://arxiv.org/abs/2512.08256 https://arxiv.org/pdf/2512.08256 https://arxiv.org/html/2512.08256
Guanjun Pan, Hong-Ming Yin: On a cross-diffusion hybrid model: Cancer Invasion Tissue with Normal Cell Involved https://arxiv.org/abs/2512.08929 https://arxiv.org/pdf/2512.08929 https://arxiv.org/html/2512.08929
December 10, 2025 at 6:36 AM
Guanjun Pan, Hong-Ming Yin: On a cross-diffusion hybrid model: Cancer Invasion Tissue with Normal Cell Involved https://arxiv.org/abs/2512.08929 https://arxiv.org/pdf/2512.08929 https://arxiv.org/html/2512.08929
Gabriele Benomio, Rita Teixeira da Costa: The Maxwell equations on full sub-extremal and extremal Kerr spacetimes https://arxiv.org/abs/2512.08917 https://arxiv.org/pdf/2512.08917 https://arxiv.org/html/2512.08917
December 10, 2025 at 6:36 AM
Gabriele Benomio, Rita Teixeira da Costa: The Maxwell equations on full sub-extremal and extremal Kerr spacetimes https://arxiv.org/abs/2512.08917 https://arxiv.org/pdf/2512.08917 https://arxiv.org/html/2512.08917
Justin Holmer, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky: Orbital stability of kinks in the NLS equation with competing nonlinearities https://arxiv.org/abs/2512.08840 https://arxiv.org/pdf/2512.08840 https://arxiv.org/html/2512.08840
December 10, 2025 at 6:36 AM
Justin Holmer, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky: Orbital stability of kinks in the NLS equation with competing nonlinearities https://arxiv.org/abs/2512.08840 https://arxiv.org/pdf/2512.08840 https://arxiv.org/html/2512.08840
Dengjun Guo, Xiaoyutao Luo: Norm Inflation For The Critical SQG Equation https://arxiv.org/abs/2512.08816 https://arxiv.org/pdf/2512.08816 https://arxiv.org/html/2512.08816
December 10, 2025 at 6:36 AM
Dengjun Guo, Xiaoyutao Luo: Norm Inflation For The Critical SQG Equation https://arxiv.org/abs/2512.08816 https://arxiv.org/pdf/2512.08816 https://arxiv.org/html/2512.08816
Wilberclay G. Melo, Cilon Perusato, Thyago S. R. Santos: Exponential blow-up of mild solutions to the fractional Boussinesq equations in the Gevrey class https://arxiv.org/abs/2512.08726 https://arxiv.org/pdf/2512.08726 https://arxiv.org/html/2512.08726
December 10, 2025 at 6:36 AM
Wilberclay G. Melo, Cilon Perusato, Thyago S. R. Santos: Exponential blow-up of mild solutions to the fractional Boussinesq equations in the Gevrey class https://arxiv.org/abs/2512.08726 https://arxiv.org/pdf/2512.08726 https://arxiv.org/html/2512.08726
A. Colesanti, M. Focardi, P. Guan, P. Salani: A constant rank theorem for linear elliptic equations on the sphere with applications to the mixed Christoffel problem https://arxiv.org/abs/2512.08670 https://arxiv.org/pdf/2512.08670 https://arxiv.org/html/2512.08670
December 10, 2025 at 6:36 AM
A. Colesanti, M. Focardi, P. Guan, P. Salani: A constant rank theorem for linear elliptic equations on the sphere with applications to the mixed Christoffel problem https://arxiv.org/abs/2512.08670 https://arxiv.org/pdf/2512.08670 https://arxiv.org/html/2512.08670
Giada Cianfarani Carnevale: Global Weak Solutions for the High--Friction Quantum Navier--Stokes--Poisson Model https://arxiv.org/abs/2512.08655 https://arxiv.org/pdf/2512.08655 https://arxiv.org/html/2512.08655
December 10, 2025 at 6:36 AM
Giada Cianfarani Carnevale: Global Weak Solutions for the High--Friction Quantum Navier--Stokes--Poisson Model https://arxiv.org/abs/2512.08655 https://arxiv.org/pdf/2512.08655 https://arxiv.org/html/2512.08655
Huali Zhang: Improved Local Well-Posedness in Sobolev Spaces for Two-Dimensional Compressible Euler Equations https://arxiv.org/abs/2512.08581 https://arxiv.org/pdf/2512.08581 https://arxiv.org/html/2512.08581
December 10, 2025 at 6:36 AM
Huali Zhang: Improved Local Well-Posedness in Sobolev Spaces for Two-Dimensional Compressible Euler Equations https://arxiv.org/abs/2512.08581 https://arxiv.org/pdf/2512.08581 https://arxiv.org/html/2512.08581
Zhen Lu, Shou-Fu Tian: Stability of $n$-soliton solutions for the Intermediate Long Wave equation https://arxiv.org/abs/2512.08562 https://arxiv.org/pdf/2512.08562 https://arxiv.org/html/2512.08562
December 10, 2025 at 6:36 AM
Zhen Lu, Shou-Fu Tian: Stability of $n$-soliton solutions for the Intermediate Long Wave equation https://arxiv.org/abs/2512.08562 https://arxiv.org/pdf/2512.08562 https://arxiv.org/html/2512.08562
Amandine Boucart, Sonia Fliss, Laure Giovangigli: Scattering from a random thin coating of nanoparticles: the Dirichlet case https://arxiv.org/abs/2512.08487 https://arxiv.org/pdf/2512.08487 https://arxiv.org/html/2512.08487
December 10, 2025 at 6:36 AM
Amandine Boucart, Sonia Fliss, Laure Giovangigli: Scattering from a random thin coating of nanoparticles: the Dirichlet case https://arxiv.org/abs/2512.08487 https://arxiv.org/pdf/2512.08487 https://arxiv.org/html/2512.08487
Juli\'an L\'opez-G\'omez, Juan Carlos Sampedro: Global Leray-Schauder continuation for Fredholm operators https://arxiv.org/abs/2512.08412 https://arxiv.org/pdf/2512.08412 https://arxiv.org/html/2512.08412
December 10, 2025 at 6:36 AM
Juli\'an L\'opez-G\'omez, Juan Carlos Sampedro: Global Leray-Schauder continuation for Fredholm operators https://arxiv.org/abs/2512.08412 https://arxiv.org/pdf/2512.08412 https://arxiv.org/html/2512.08412
Fessel Achhoud, Hichem Khelifi: A Class of Non-linear Anisotropic Elliptic problems with Unbounded Coefficients and Singular Quadratic Lower Order Terms https://arxiv.org/abs/2512.08391 https://arxiv.org/pdf/2512.08391 https://arxiv.org/html/2512.08391
December 10, 2025 at 6:36 AM
Fessel Achhoud, Hichem Khelifi: A Class of Non-linear Anisotropic Elliptic problems with Unbounded Coefficients and Singular Quadratic Lower Order Terms https://arxiv.org/abs/2512.08391 https://arxiv.org/pdf/2512.08391 https://arxiv.org/html/2512.08391
Xinzhi Cai, Hongmei Cao, Chao-jiang Xu: Sharp Regularizing Effect of the Cauchy Problem for the Inhomogeneous Non-Cutoff Kac Equation https://arxiv.org/abs/2512.08380 https://arxiv.org/pdf/2512.08380 https://arxiv.org/html/2512.08380
December 10, 2025 at 6:36 AM
Xinzhi Cai, Hongmei Cao, Chao-jiang Xu: Sharp Regularizing Effect of the Cauchy Problem for the Inhomogeneous Non-Cutoff Kac Equation https://arxiv.org/abs/2512.08380 https://arxiv.org/pdf/2512.08380 https://arxiv.org/html/2512.08380
Zhendong Fang, Kunlun Qi: Hydrodynamic limit of the Vlasov-Poisson-Fokker-Planck system in low-field regime https://arxiv.org/abs/2512.08346 https://arxiv.org/pdf/2512.08346 https://arxiv.org/html/2512.08346
December 10, 2025 at 6:36 AM
Zhendong Fang, Kunlun Qi: Hydrodynamic limit of the Vlasov-Poisson-Fokker-Planck system in low-field regime https://arxiv.org/abs/2512.08346 https://arxiv.org/pdf/2512.08346 https://arxiv.org/html/2512.08346
Jo\~ao Vitor da Silva, Feida Jiang, Jiangwen Wang: Regularity for fully nonlinear degenerate parabolic equations with strong absorption https://arxiv.org/abs/2512.08196 https://arxiv.org/pdf/2512.08196 https://arxiv.org/html/2512.08196
December 10, 2025 at 6:36 AM
Jo\~ao Vitor da Silva, Feida Jiang, Jiangwen Wang: Regularity for fully nonlinear degenerate parabolic equations with strong absorption https://arxiv.org/abs/2512.08196 https://arxiv.org/pdf/2512.08196 https://arxiv.org/html/2512.08196
Piotr B. Mucha, Tomasz Piasecki, Yoshihiro Shibata: Free Boundary Problem for inhomogeneous Navier-Stokes equations https://arxiv.org/abs/2512.08039 https://arxiv.org/pdf/2512.08039 https://arxiv.org/html/2512.08039
December 10, 2025 at 6:36 AM
Piotr B. Mucha, Tomasz Piasecki, Yoshihiro Shibata: Free Boundary Problem for inhomogeneous Navier-Stokes equations https://arxiv.org/abs/2512.08039 https://arxiv.org/pdf/2512.08039 https://arxiv.org/html/2512.08039
Alberto Enciso, Josef Greilhuber: Non-density of nodal lines in the clamped plate problem https://arxiv.org/abs/2512.08030 https://arxiv.org/pdf/2512.08030 https://arxiv.org/html/2512.08030
December 10, 2025 at 6:36 AM
Alberto Enciso, Josef Greilhuber: Non-density of nodal lines in the clamped plate problem https://arxiv.org/abs/2512.08030 https://arxiv.org/pdf/2512.08030 https://arxiv.org/html/2512.08030
Espen Robstad Jakobsen, Robin {\O}stern Lien, Artur Rutkowski: On Schauder Estimates for Fractional Hamilton-Jacobi Equations https://arxiv.org/abs/2512.07999 https://arxiv.org/pdf/2512.07999 https://arxiv.org/html/2512.07999
December 10, 2025 at 6:36 AM
Espen Robstad Jakobsen, Robin {\O}stern Lien, Artur Rutkowski: On Schauder Estimates for Fractional Hamilton-Jacobi Equations https://arxiv.org/abs/2512.07999 https://arxiv.org/pdf/2512.07999 https://arxiv.org/html/2512.07999
D. K. Durdiev, H. H. Turdiev: Inverse coefficient problem for a fully fractional diffusion equation with nonlinear and source nonlocal initial condition https://arxiv.org/abs/2512.07914 https://arxiv.org/pdf/2512.07914 https://arxiv.org/html/2512.07914
December 10, 2025 at 6:36 AM
D. K. Durdiev, H. H. Turdiev: Inverse coefficient problem for a fully fractional diffusion equation with nonlinear and source nonlocal initial condition https://arxiv.org/abs/2512.07914 https://arxiv.org/pdf/2512.07914 https://arxiv.org/html/2512.07914
Anupama Ghorai, Jitraj Saha: On the discrete to continuous condensing aggregation equation: A weak convergence approach https://arxiv.org/abs/2512.07883 https://arxiv.org/pdf/2512.07883 https://arxiv.org/html/2512.07883
December 10, 2025 at 6:36 AM
Anupama Ghorai, Jitraj Saha: On the discrete to continuous condensing aggregation equation: A weak convergence approach https://arxiv.org/abs/2512.07883 https://arxiv.org/pdf/2512.07883 https://arxiv.org/html/2512.07883
[2025-12-10 Wed (UTC), 20 new articles found for mathAP Analysis of PDEs]
December 10, 2025 at 6:36 AM
[2025-12-10 Wed (UTC), 20 new articles found for mathAP Analysis of PDEs]
Reposted by arXiv math.AP Analysis of PDEs
David Bick: Caustics in the spherically symmetric Einstein-dust system https://arxiv.org/abs/2512.07812 https://arxiv.org/pdf/2512.07812 https://arxiv.org/html/2512.07812
December 9, 2025 at 6:44 AM
David Bick: Caustics in the spherically symmetric Einstein-dust system https://arxiv.org/abs/2512.07812 https://arxiv.org/pdf/2512.07812 https://arxiv.org/html/2512.07812
Reposted by arXiv math.AP Analysis of PDEs
Shi Jin, Qi Shao, Haitao Wang: Time-asymptotic behavior of the Boltzmann equation with random inputs in whole space and its stochastic Galerkin approximation https://arxiv.org/abs/2512.07735 https://arxiv.org/pdf/2512.07735 https://arxiv.org/html/2512.07735
December 9, 2025 at 6:39 AM
Shi Jin, Qi Shao, Haitao Wang: Time-asymptotic behavior of the Boltzmann equation with random inputs in whole space and its stochastic Galerkin approximation https://arxiv.org/abs/2512.07735 https://arxiv.org/pdf/2512.07735 https://arxiv.org/html/2512.07735
Reposted by arXiv math.AP Analysis of PDEs
Leo Harakeh, Luc Hillairet: Approximating sub-riemannian structures by Riemannian metrics and spectral convergence https://arxiv.org/abs/2512.07621 https://arxiv.org/pdf/2512.07621 https://arxiv.org/html/2512.07621
December 9, 2025 at 6:37 AM
Leo Harakeh, Luc Hillairet: Approximating sub-riemannian structures by Riemannian metrics and spectral convergence https://arxiv.org/abs/2512.07621 https://arxiv.org/pdf/2512.07621 https://arxiv.org/html/2512.07621