Singular and degenerate anisotropic parabolic equations with a nonlinear source
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Publication:847353
DOI10.1016/j.na.2009.11.042zbMath1184.35178OpenAlexW2033421957MaRDI QIDQ847353
Alkis S. Tersenov, Victor Nikolayevich Starovoitov
Publication date: 12 February 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.11.042
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (13)
On the solvability of the Dirichlet problem for anisotropic parabolic equations in non-convex domains ⋮ Evolution problems of Navier-Stokes type with anisotropic diffusion ⋮ On the existence of nonnegative solutions to the Dirichlet boundary value problem for the p-Laplace equation in the presence of exterior mass forces ⋮ Existence of Lipschitz continuous solutions to the Cauchy-Dirichlet problem for anisotropic parabolic equations ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ The fundamental solution and blow-up problem of an anisotropic parabolic equation ⋮ On quasilinear anisotropic parabolic equations with time-dependent exponents ⋮ Existence and global second-order regularity for anisotropic parabolic equations with variable growth ⋮ Higher regularity of solutions of singular parabolic equations with variable nonlinearity ⋮ The one dimensional parabolic \(p(x)\)-Laplace equation ⋮ New a priori estimates of solutions to anisotropic elliptic equations ⋮ Complete quenching for a quasilinear parabolic equation ⋮ Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term
Cites Work
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- Existence of solution for a anisotropic equation with critical exponent.
- Sharp Sobolev asymptotics for critical anisotropic equations
- The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations
- Comparison estimates in anisotropic variational problems
- Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
- A priori estimates for solutions of anisotropic elliptic equations
- Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
- Existence and nonexistence results for anisotropic quasilinear elliptic equations
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Anisotropic parabolic equations with variable nonlinearity
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- On a perturbed anisotropic equation with a critical exponent
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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