Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy
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Publication:2007178
DOI10.1016/j.camwa.2015.04.007zbMath1443.35082OpenAlexW2083232500MaRDI QIDQ2007178
Publication date: 12 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.04.007
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations (35K59)
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Cites Work
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- On global existence and bounds for blow-up time in nonlinear parabolic problems with time dependent coefficients
- Lebesgue and Sobolev spaces with variable exponents
- Blow-up phenomena for some nonlinear parabolic problems
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- Blow-up for parabolic and hyperbolic problems with variable exponents
- Existence and non-existence of global solutions for a semilinear heat equation
- Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- On the growing problem for semilinear heat equations
- Multidimensional nonlinear diffusion arising in population genetics
- The problem of blow-up in nonlinear parabolic equations
- Regularity results for stationary electro-rheological fluids
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Semilinear parabolic equations with prescribed energy
- The role of critical exponents in blow-up theorems: The sequel
- On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Critical exponents for a semilinear parabolic equation with variable reaction
- The Role of Critical Exponents in Blowup Theorems
- On nonexistence of global solutions of some semilinear parabolic differential equations
