Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator
DOI10.1134/S0001434615030311zbMath1325.35114MaRDI QIDQ2352613
Publication date: 3 July 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Dirichlet boundary conditionFatou theoremHölder's inequalityYoung's inequality\(p\)-Laplace-type operatorquasilinear backward parabolic inequality
Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Partial differential inequalities and systems of partial differential inequalities (35R45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Cites Work
- Unnamed Item
- Unnamed Item
- A note on parabolic Liouville theorems and blow-up rates for a higher-order semilinear parabolic system
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Blow-up of global sign-changing solutions of a nonlinear heat equation
- Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data
- Blow-up for semilinear parabolic equations with critical Sobolev exponent
- A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation
- Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay
- Extinction for a quasilinear heat equation with absorprtion i. technique of intersection comparison
- The blow-up rate for semilinear parabolic problems on general domains
This page was built for publication: Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator
