Existence and nonexistence of global solutions of degenerate and singular parabolic systems

DOI10.1155/S1085337501000380zbMath1009.35045MaRDI QIDQ1608775

Gabriella Caristi

Publication date: 13 August 2002

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49904

zbMATH Keywords

initial value problemglobal weak solutionscapacity estimates

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40)

Related Items (7)

Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions ⋮ Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations ⋮ Liouville-type theorem for a nonlinear degenerate parabolic system of inequalities ⋮ Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms ⋮ Pointwise bounds and blow-up for systems of semilinear parabolic inequalities and nonlinear heat potential estimates ⋮ On blow-up of solutions of some systems of quasilinear parabolic inequalities ⋮ Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients

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