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Non–existence of global solutions to anisotropic Fujita–type systems of semilinear parabolic equations

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Publication:4946429
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DOI10.1098/RSPA.2000.0521zbMath0965.35080OpenAlexW2125952531MaRDI QIDQ4946429

Sleeman, Brian D., Hiroshi Takase

Publication date: 22 July 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0521


zbMATH Keywords

semilinear parabolic systemblow-up of positive solutions


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic systems (35K45)


Related Items (2)

Existence and nonexistence of Fujita-type critical exponents for isotropic and anisotropic semi-linear parabolic systems ⋮ Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations







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