Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators

Fabio Punzo, Stefano Biagi, Eugenio Vecchi

Publication date: 15 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
The Fujita exponent for the Cauchy problem in the hyperbolic space
Blow-up of solutions to semilinear parabolic equations on Riemannian manifolds with negative sectional curvature
Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density
Towards a unified approach to nonexistence of solutions for a class of differential inequalities
On nonexistence of global solutions for some nonlinear integral equations
On the growing problem for semilinear heat equations
Blowup in diffusion equations: A survey
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
On nonexistence of global solutions for a semilinear heat equation on graphs
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
The role of critical exponents in blow-up theorems: The sequel
Blow-up results for nonlinear parabolic equations on manifolds
Smoothing effects and infinite time blowup for reaction-diffusion equations: an approach via Sobolev and Poincaré inequalities
Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains
Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes
Global solutions of semilinear parabolic equations with drift term on Riemannian manifolds
Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold
Nonexistence of global weak solutions for evolution equations with fractional Laplacian
A blow-up dichotomy for semilinear fractional heat equations
Asymptotics for a nonlinear integral equation with a generalized heat kernel
Parabolic Harnack inequality for the mixture of Brownian motion and stable process
Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations
Heat kernel estimates for stable-like processes on \(d\)-sets.
The obstacle problem for nonlinear integro-differential operators
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
Weak Harnack inequality for a mixed local and nonlocal parabolic equation
Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds
Transition probabilities for symmetric jump processes
Global heat kernel estimates for symmetric jump processes
Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
Asymptotic behaviour of the lifespan of solutions for a semilinear heat equation in hyperbolic space
The Role of Critical Exponents in Blowup Theorems
Non-local Dirichlet forms and symmetric jump processes
Fractional Differential Equations
On nonexistence of global solutions of some semilinear parabolic differential equations
Mixed local and nonlocal elliptic operators: regularity and maximum principles
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
ASYMPTOTICS FOR FRACTIONAL NONLINEAR HEAT EQUATIONS
(Non)local logistic equations with Neumann conditions
A Faber-Krahn inequality for mixed local and nonlocal operators
On the regularity theory for mixed local and nonlocal quasilinear parabolic equations
A Brezis–Oswald approach for mixed local and nonlocal operators
The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains
Gradient regularity in mixed local and nonlocal problems
Global existence for reaction-diffusion evolution equations driven by the \(p \)-Laplacian on manifolds
Multiplicity of positive solutions for mixed local-nonlocal singular critical problems

This page was built for publication: Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6663910)