Global existence and blow-up of solutions for a parabolic equation involving the fractional p(x)-Laplacian
From MaRDI portal
Publication:5085536
DOI10.1080/00036811.2020.1829601zbMath1492.35409arXiv2006.11859OpenAlexW3112706988MaRDI QIDQ5085536
Publication date: 27 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11859
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (5)
Global well‐posedness and finite time blow‐up for a class of wave equation involving fractional p‐Laplacian with logarithmic nonlinearity ⋮ Unnamed Item ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of \(p(x)\)-Choquard diffusion equations in \(\mathbb{R}^N\) ⋮ Existence of solution for a class of heat equation with double criticality ⋮ Stability of non-Newtonian fluid and electrorheological fluid mixed-type equation
Cites Work
- Unnamed Item
- Unnamed Item
- Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions
- Nonlocal diffusion and applications
- Fractional \(p\)-Laplacian evolution equations
- Hitchhiker's guide to the fractional Sobolev spaces
- On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
- Geometric theory of semilinear parabolic equations
- Saddle points and instability of nonlinear hyperbolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
- Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian
- Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian
- Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
- Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods
- Well-posedness and large-time behaviors of solutions for a parabolic equation involving \(p(x)\)-Laplacian
- On global solution of nonlinear hyperbolic equations
- Non-local Diffusions, Drifts and Games
- Monotone operator theory for unsteady problems in variable exponent spaces
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Nonlocal Operators with Applications to Image Processing
- Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
- On solutions of space-fractional diffusion equations by means of potential wells
- Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Partial Differential Equations with Variable Exponents
- A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
This page was built for publication: Global existence and blow-up of solutions for a parabolic equation involving the fractional p(x)-Laplacian