Cover Image

Local and global solvability of the Grushin heat equation with mixed nonlinear memory and reaction terms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fino, Ahmad Z., Viana, Arlucio
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35K58, 35K65, 35B09, 35B33, 35B51, 35R09
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the semilinear heat equation with the Grushin operator
by: Oliveira, Geronimo, et al.
Published: (2024)

Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities
by: Fino, Ahmad Z., et al.
Published: (2025)

A comparison principle for nonlinear parabolic equations with nonlocal source and gradient absorption
by: Amirzhankyzy, Zhaniya, et al.
Published: (2025)

Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
by: Chaurasia, Dharmendra Kumar, et al.
Published: (2026)

Long-time behavior of free energy in the nonlinear Fokker-Planck equation
by: Araki, Kouta, et al.
Published: (2025)

Decay of mass for a semilinear heat equation with mixed local-nonlocal operators
by: Kirane, Mokhtar, et al.
Published: (2025)

Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains
by: Hou, Mingyi
Published: (2024)

Initial traces and solvability of porous medium equation with power nonlinearity
by: Ishige, Kazuhiro, et al.
Published: (2025)

Determining a parabolic system by boundary observation of its non-negative solutions with biological applications
by: Liu, Hongyu, et al.
Published: (2023)

Asymptotic behavior of solutions of a time-space fractional diffusive Volterra equation
by: Ahmad, Sofwah, et al.
Published: (2025)

On the decay of mass with respect to an invariant measure for semilinear heat equations in exterior domains
by: Fino, Ahmad, et al.
Published: (2025)

Decay of mass for a semilinear heat equation on Heisenberg group
by: Fino, Ahmad Z.
Published: (2025)

Lipschitz regularity for parabolic fractional $p$-Laplace equations
by: Prasad, Harsh
Published: (2026)

The critical Fujita exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities
by: Miyamoto, Reiri, et al.
Published: (2025)

Rigidity results in multi-bubble dynamics for non-radial energy-critical heat equation
by: Kim, Kihyun, et al.
Published: (2026)

Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Gradient bounds for strongly singular or degenerate parabolic systems
by: Ambrosio, Pasquale, et al.
Published: (2023)

Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equation
by: Vestberg, Matias
Published: (2024)

Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations
by: Nastasi, Antonella, et al.
Published: (2025)

Optimal condition for blow-up of the critical $L^q$ norm for the semilinear heat equation
by: Mizoguchi, Noriko, et al.
Published: (2018)

New type of solutions for a critical Grushin-type problem with competing potentials
by: Chen, Wenjing, et al.
Published: (2024)

Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction
by: Zhang, Jian, et al.
Published: (2024)

Holder regularity for nonlocal in time subdiffusion equations with general kernel
by: Kubica, Adam, et al.
Published: (2024)

On the Hölder continuity of signed solutions to doubly nonlinear parabolic equations in the mixed degenerate/singular cases
by: Skrypnik, Igor I.
Published: (2026)

Charge transport systems with Fermi-Dirac statistics for memristors
by: Herda, Maxime, et al.
Published: (2024)

Positivity and asymptotic behaviour of solutions to a generalized nonlocal fast diffusion equation
by: de Pablo, Arturo, et al.
Published: (2024)

Blow-up criteria for the semilinear parabolic equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Threshold, subthreshold and global unbounded solutions of superlinear heat equations
by: Quittner, Pavol, et al.
Published: (2025)

On inverse problems in predator-prey models
by: Li, Yuhan, et al.
Published: (2023)

The Fujita exponent for a heat equation with mixed local and nonlocal nonlinearities on the Heisenberg group
by: Sabbagh, Zineb, et al.
Published: (2025)

Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds with conical singularities
by: Lopes, Pedro T. P., et al.
Published: (2022)

Oscillatory behavior of solutions to the critical Fujita equation in 6D
by: Harada, Junichi
Published: (2025)

Local Hölder Regularity For Nonlocal Porous Media And Fast Diffusion Equations With General Kernel
by: Kim, Kyeongbae, et al.
Published: (2025)

Initial traces and solvability of the fast diffusion equation with power-type nonlinearity
by: Ishige, Kazuhiro, et al.
Published: (2025)

Homogenization of a multiscale model for water transport in vegetated soil
by: Mair, Andrew, et al.
Published: (2024)

Shrinking vs. expanding: the evolution of spatial support in degenerate Keller-Segel systems
by: Fuest, Mario, et al.
Published: (2025)

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
by: Ambrosio, Pasquale, et al.
Published: (2025)

The Dirichlet problem for the nonstationary Stokes system in a polygon
by: Rossmann, Jürgen
Published: (2025)

Blow up analysis for Keller-Segel system
by: Chen, Hua, et al.
Published: (2022)

Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation
by: Larios, Adam, et al.
Published: (2024)