Global existence and nonexistence of solutions for Newtonian filtration equation

DOI10.1080/00036811.2016.1192137OpenAlexW2515131566WikidataQ58298792 ScholiaQ58298792MaRDI QIDQ5269415

Chein-Shan Liu, Hui-min Wang

Publication date: 15 June 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1192137

zbMATH Keywords

existencenonexistenceNewtonian filtration equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (1)

Fujita type theorem for a class of coupled quasilinear convection-diffusion equations

Cites Work

• On the critical exponent for reaction-diffusion equations
• Existence and nonexistence of global solutions to quasilinear parabolic equations with convection
• The critical Fujita exponent for a diffusion equation with a potential term
• Global existence and blowing-up of solutions to a class of coupled reaction-convection-diffusion systems
• Large time behavior of solutions to Newtonian filtration equation with nonlinear boundary sources
• On the blow-up of solutions of a convective reaction diffusion equation

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