Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction
From MaRDI portal
Publication:5175335
DOI10.1080/00036811.2014.887693zbMath1327.35172OpenAlexW1975839338WikidataQ58263672 ScholiaQ58263672MaRDI QIDQ5175335
Iftikhar Ahmed, Pan Zheng, Chun-Lai Mu
Publication date: 20 February 2015
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2014.887693
blow-upcritical exponentglobal existencelocalized reactionnon-Newtonian polytropic filtration equation
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)
Cites Work
- Unnamed Item
- Cauchy problem for fast diffusion equation with localized reaction
- Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- Asymptotic behaviour of the doubly nonlinear diffusion equation \(u_t=\Delta_pu^m\) on bounded domains
- Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values
- Classification of blow-up with nonlinear diffusion and localized reaction
- Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
- Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values
- Some existence and nonexistence theorems for solutions of degenerate parabolic equations
- On a fast diffusion equation with source
- Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
- On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
- On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
- Second critical exponent for evolution \(p\)-Laplacian equation with weighted source
- Critical exponents for the evolution \(p\)-Laplacian equation with a localized reaction
- On the critical exponents for porous medium equation with a localized reaction in high dimensions
- The role of critical exponents in blow-up theorems: The sequel
- Life span and secondary critical exponent for degenerate and singular parabolic equations
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- Localization for the evolution \(p\)-Laplacian equation with strongly nonlinear source term
- The Cauchy problem for a degenerate parabolic equation with inhomogeneous density and source in the class of slowly decaying initial data
- LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE
- The Role of Critical Exponents in Blowup Theorems
- A general approach to critical Fujita exponents in nonlinear parabolic problems
- Blow-up for quasilinear heat equations with critical Fujita's exponents
- The critical exponents of parabolic equations and blow-up inRn
- A critical exponent in a degenerate parabolic equation
- Critical exponents in a degenerate parabolic equation with weighted source
- Critical Fujita exponents of degenerate and singular parabolic equations
- The critical exponent of doubly singular parabolic equations
- Critical exponents of quasilinear parabolic equations
This page was built for publication: Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction