On a Liouville-type theorem and the Fujita blow-up phenomenon

DOI10.1090/S0002-9939-03-07170-3zbMath1036.35078OpenAlexW1867310503MaRDI QIDQ4441793

Athanassios G. Kartsatos, Vasilii V. Kurta

Publication date: 7 January 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07170-3

zbMATH Keywords

new Liouville theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Initial value problems for second-order parabolic equations (35K15)

Related Items

Liouville-type theorem for a nonlinear degenerate parabolic system of inequalities ⋮ Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields ⋮ Nonexistence of global solutions for a nonlinear parabolic equation with a forcing term ⋮ On blow-up results for solutions of inhomogeneous evolution equations and inequalities. ⋮ A Liouville-type theorem for a system of parabolic inequalities and its applications

Cites Work

• Unnamed Item
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• Finite time blow-up for the inhomogeneous equation 𝑢_{𝑡}=Δ𝑢+𝑎(𝑥)𝑢^{𝑝}+𝜆𝜙 in 𝑅^{𝑑}
• On nonexistence of global solutions of some semilinear parabolic differential equations

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