The fundamental solution and blow-up problem of an anisotropic parabolic equation
From MaRDI portal
Publication:6084707
DOI10.1186/s13661-023-01780-9zbMath1527.35008OpenAlexW4386769148MaRDI QIDQ6084707
Publication date: 2 December 2023
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-023-01780-9
Fundamental solutions to PDEs (35A08) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Cites Work
- Unnamed Item
- Unnamed Item
- Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level
- Anisotropic elliptic problems with natural growth terms
- Sharp Sobolev asymptotics for critical anisotropic equations
- Singular and degenerate anisotropic parabolic equations with a nonlinear source
- Blow-up of the solution for a \(p\)-Laplacian equation with positive initial energy
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- Periodic solutions of some nonlinear degenerate parabolic equations
- On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
- A stability technique for evolution partial differential equations. A dynamical systems approach
- Regularity of the solution to nonlinear anisotropic elliptic equations with variable exponents and irregular data
- A new condition for the concavity method of blow-up solutions to \(p\)-Laplacian parabolic equations
- Nonlinear parabolic equations with critical initial conditions \(J(u_0)=d\) or \(I(u_0)=0\)
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations
- Blow-up of the solutions for a class of porous medium equations with positive initial energy
- Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term
- Nonlinear elliptic equations with variable exponent: old and new
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- Existence and uniqueness for nonlinear anisotropic elliptic equations
- Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data
- Teoremi di inclusione per spazi di Sobolev non isotropi
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time
- Anisotropic parabolic equations with measure data II
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
This page was built for publication: The fundamental solution and blow-up problem of an anisotropic parabolic equation
