1. Qualitative properties of solutions to parabolic anisotropic equations: Part II -- The anisotropic Trudinger's equation
   2025/07/21 by Simone Ciani, S. Ciani, E. Henriques +9 · 1 citation
   Mathematics · #35B45 #35B65 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Qualitative properties of solutions to parabolic anisotropic equations: Part I -- Expansion of positivity
   2025/07/09 by Ciani, Simone, Henriques, Eurica, Savchenko, Mariia +1 · 1 citation
   #35B45 #35B65 #35K55 #35K65 #35K67 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Low regularity well-posedness of nonlocal dispersive perturbations of Burgers' equation
   2025/06/21 by Molinet, Luc, Pilod, Didier, Vento, Stéphane · 2 citations
   #35A01 #35A02 #35B45 #35E15 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: local boundedness under exact integrability assumptions
   2025/06/17 by Simone Ciani, Ciani, Simone, Eurica Henriques +5 · 1 citation
   Engineering · Mathematics · #35B45 #35B65 #35K65 #Advanced Topology and Set Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Analysis #Stability and Controllability of Differential Equations
5. A porous medium equation with rough weights: sharp Widder theory
   2025/06/09 by Grillo, Gabriele, Muratori, Matteo, Petitt, Troy +1 · 1 citation
   #35A01 #35A02 #35B45 #35J08 #35K65 #35R06. Secondary: 28A33 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35R05
6. Gradient continuity for the parabolic (1, p)-Laplace system
   2025/03/21 by Tsubouchi, Shuntaro · 1 citation
   #35B45 #35B65 #35K40 #35K92 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Quasi-Optimal Least Squares: Inhomogeneous boundary conditions, and application with machine learning
   2024/12/08 by Harald Monsuur, Robin Smeets, Monsuur, Harald +3 · 1 citation
   Engineering · Mathematics · #35B35 #35B45 #65N30 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Statistical and numerical algorithms
8. Compactness results for Sign-Changing Solutions of critical nonlinear elliptic equations of low energy
   2024/12/01 by Cheikh-Ali, Hussein, Premoselli, Bruno · 3 citations
   #35B33 #35B40 #35B44 #35B45 #35J57 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds
   2024/11/10 by Yan, Xiangqian, Li, Yongsheng, Yan, Wei +1 · 1 citation
   #35B45 #42B20 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary-35Q41 #Secondary-35B65
10. Fujita type results for a parabolic inequality with a non-linear convolution term on the Heisenberg group
    2024/09/19 by Ahmad Z. Fino, Mokhtar Kirane, Fino, Ahmad Z. +5 · 2 citations
    Computer Science · Mathematics · #35A01 #35B33 #35B45 #35B53 #35R03 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
11. From Finite to Continuous Phenotypes in (Visco-)Elastic Tissue Growth Models
    2024/09/04 by Dębiec, Tomasz, Mandal, Mainak, Schmidtchen, Markus · 1 citation
    #35B45 #35K55 #35K57 #35K65 #35Q92 #47N60 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions
    2024/08/30 by Dong, Hongjie, Kwon, Hyunwoo · 1 citation
    #35B45 #35K51 #76D03 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. A definitive majorization result for nonlinear operators
    2024/07/07 by Harvey, F. Reese, Lawson, H. Blaine · 1 citation
    #32Q25 #32W20 #35A23 #35B45 #35B65 #35G20 #53C55 #58J32 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
14. The De Giorgi method for local and nonlocal systems
    2024/04/05 by Behn, Linus, Diening, Lars, Nowak, Simon +1 · 1 citation
    #35B45 #35B50 #35D30 #35J60 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. A priori bounds for 2-d generalised Parabolic Anderson Model
    2024/02/08 by Chandra, Ajay, Feltes, Guilherme de Lima, Weber, Hendrik · 1 citation
    #35B45 #60H15 #60L30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
16. Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
    2024/01/22 by Anceschi, Francesca, Dietert, Helge, Guerand, Jessica +3 · 1 citation
    #35A23 #35B45 #35B65 #35H10 #35K70 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Suppression of blow-up in 3-D Keller-Segel model via Couette flow in whole space
    2023/11/30 by Deng, Shijin, Shi, Binbin, Wang, Weike · 1 citation
    #35B40 #35B45 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Nash-Moser iteration approach to the logarithmic gradient estimates and Liouville Properties of quasilinear elliptic equations on manifolds
    2023/11/05 by Jie He, Jingchen Hu, He, Jie +3 · 1 citation
    Computer Science · Mathematics · #35B45 #35J92 #58J05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
19. Regularity for nonuniformly elliptic equations with p,q-growth and explicit x,u-dependence
    2023/09/27 by Cupini, Giovanni, Marcellini, Paolo, Mascolo, Elvira · 2 citations
    #35B45 #35D30 #35J15 #35J60 #49N60 #Analysis of PDEs (math.AP) #FOS: Mathematics
20. Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering
    2023/09/17 by Sheng, Qiwei, Hauck, Cory, Xing, Yulong · 1 citation
    #35B40 #35B45 #35L40 #65N12 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
21. Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with L^p initial datum
    2023/08/20 by Golding, William, Loher, Amélie · 2 citations
    #35B45 #35B60 #35B65 #35K55 #35K59 #82C40 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Boundedness, Ultracontractive Bounds and Optimal Evolution of the Support for Doubly Nonlinear Anisotropic Diffusion
    2023/06/29 by Ciani, Simone, Vespri, Vincenzo, Vestberg, Matias · 2 citations
    #35B45 #35B65 #35D30 #35K10 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
    2023/06/06 by Maha Daoud, Daoud, Maha, El-Haj Laamri +3 · 2 citations
    Mathematics · #35B45 #35J62. 30G50 #35R11 #47H10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
24. On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations
    2023/05/22 by Mariia Savchenko, Savchenko, Mariia, Игорь Николаевич Скрыпник +3 · 1 citation
    Computer Science · Mathematics · #35B40 #35B45 #35B65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
25. Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
    2023/05/10 by Elbar, Charles, Perthame, Benoît, Poiatti, Andrea +1 · 1 citation
    #35B40 #35B45 #35G20 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics
26. Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects
    2023/05/06 by Elbar, Charles, Poulain, Alexandre · 1 citation
    #35B40 #35B45 #35G20 #35Q35 #35Q92 #65M08 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
27. Parabolic stochastic quantisation of the fractional Φ⁴₃ model in the full subcritical regime
    2023/03/31 by Massimiliano Gubinelli, Duch, Paweł, Gubinelli, Massimiliano +2 · 1 citation
    Economics, Econometrics and Finance · Mathematics · #35B45 #60H17 (Primary) 81T08 #60H30 (Secondary) #81T17 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications
28. Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model
    2023/02/12 by Inoue, Jumpei, Kuto, Kousuke, Sato, Homare · 1 citation
    #35A16 #35B09 #35B32 #35B45 #35J25 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics
29. Higher regularity for weak solutions to degenerate parabolic problems
    2023/01/27 by Andrea Gentile, Antonia Passarelli di Napoli, Gentile, Andrea +1 · 3 citations
    Computer Science · Mathematics · #35B45 #35B65 #35D30 #35K10 #35K65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
30. Minimal residual methods in negative or fractional Sobolev norms
    2023/01/25 by Monsuur, Harald, Stevenson, Rob, Storn, Johannes · 2 citations
    #35B35 #35B45 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)

more