Existence and nonexistence of global solutions of the quasilinear parabolic equations with inhomogeneous terms

DOI10.1155/2010/451619zbMath1211.35155OpenAlexW2107587367WikidataQ59252879 ScholiaQ59252879MaRDI QIDQ610920

Yasumaro Kobayashi

Publication date: 13 December 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231083

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (1)

Fujita exponents for an inhomogeneous parabolic equation with variable coefficients

Cites Work

• Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
• The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms
• Local and global solvability of a class of semilinear parabolic equations
• Existence and nonexistence of global solutions of quasilinear parabolic equations.
• Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• Existence and nonexistence of global solutions to fast diffusions with source
• Blow-up results for nonlinear parabolic equations on manifolds
• On the equation u_t = ∆u^α + u^β
• The critical exponents of parabolic equations and blow-up inRⁿ

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