On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
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Publication:630198
DOI10.1134/S008154381003003XzbMath1221.35073WikidataQ59227363 ScholiaQ59227363MaRDI QIDQ630198
Publication date: 17 March 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)
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Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time ⋮ Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth ⋮ Estimates of decay rate for solution to parabolic equation with non-power nonlinearities ⋮ Existence of solution for parabolic equation with non-power nonlinearities ⋮ Young measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-up ⋮ Inverse problem for an equation with a nonstandard growth condition
Cites Work
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- Localization of solutions of anisotropic parabolic equations
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators
- On stationary thermo-rheological viscous flows
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- New diffusion models in image processing
- Blow-up for parabolic and hyperbolic problems with variable exponents
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- On Lavrentiev's phenomenon
- A stability technique for evolution partial differential equations. A dynamical systems approach
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Regularity results for stationary electro-rheological fluids
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Anisotropic parabolic equations with variable nonlinearity
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- On the growth of solutions of quasi‐linear parabolic equations
- Blow-up of nonnegative solutions to quasilinear parabolic inequalities
- Mathematical modeling of electrorheological materials
- Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)
- Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities
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