Critical Fujita exponents for semilinear heat equations with quadratically decaying potential

DOI10.1512/iumj.2020.69.7989zbMath1455.35012OpenAlexW3097481071MaRDI QIDQ3387531

Tatsuki Kawakami, Kazuhiro Ishige

Publication date: 13 January 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2020.69.7989

zbMATH Keywords

Schrödinger operatorglobal-in-time positive solutions

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) Semilinear parabolic equations (35K58)

Related Items (2)

Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients ⋮ Global existence of solutions to a weakly coupled critical parabolic system in two-dimensional exterior domains

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