On the critical Fujita exponents for solutions of quasilinear parabolic inequalities

DOI10.1016/S0022-247X(02)00005-7zbMath1006.35010OpenAlexW2005287409MaRDI QIDQ1604590

Vasilii V. Kurta, Athanassios G. Kartsatos

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00005-7

zbMATH Keywords

blow-up phenomena

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate parabolic equations (35K65)

Related Items (12)

On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source ⋮ Nonexistence of global solutions for a nonlinear parabolic equation with a forcing term ⋮ A Liouville comparison principle for sub- and super-solutions of the equation \(w_{t} - \Delta _{p} (w) = |w|^{q-1} w\) ⋮ Asymptotic bounds of solutions for a periodic doubly degenerate parabolic equation ⋮ Fujita-type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source term ⋮ Unnamed Item ⋮ On blow-up results for solutions of inhomogeneous evolution equations and inequalities. ⋮ Liouville theorems for a singular parabolic differential inequality with a gradient term ⋮ Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential ⋮ Fujita type results for parabolic inequalities with gradient terms ⋮ Nonexistence of solutions for the quasilinear parabolic differential inequalities with singular potential term and nonlocal source ⋮ Fujita type results for quasilinear parabolic inequalities with nonlocal terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the problem of the nonexistence of entire solutions of quasilinear elliptic equations.
• The nonexistence of positive solutions of some elliptic equations
• The absence of global positive solutions of quasilinear elliptic inequalities
• Nonexistence theorems for weak solutions of quasilinear elliptic equations.
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Comparison principle and analogues of the phragmen—lindelöf theorem for solutions of parabolic inequalities
• On nonexistence of global solutions of some semilinear parabolic differential equations
• On the behavior of solutions of quasilinear elliptic equations of second order in unbounded domains
• Blow-up of nonnegative solutions to quasilinear parabolic inequalities

This page was built for publication: On the critical Fujita exponents for solutions of quasilinear parabolic inequalities