Global existence and blow-up of solutions to a singular non-Newton polytropic filtration equation with critical and supercritical initial energy
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Publication:1660024
DOI10.3934/cpaa.2018086zbMath1395.35049OpenAlexW2801472364WikidataQ129845530 ScholiaQ129845530MaRDI QIDQ1660024
Publication date: 23 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018086
Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
- Global existence and blow-up to the solutions of a singular porous medium equation with critical initial energy
- Global existence, blow up and extinction for a class of thin-film equation
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Non-Newton filtration equation with special medium void
- Blow-up phenomena for porous medium equation with nonlinear flux on the boundary
- Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- Blow-up phenomena for a nonlocal semilinear parabolic equation with positive initial energy
- Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content
- Blow-up of the solutions for a class of porous medium equations with positive initial energy
- A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void
- The existence of global solution and the blow up problem for some \( p\)-Laplace heat equations