Weak solutions \(u(x,t)\) to parabolic partial differential equations with coefficients that depend upon \(u(y_i,\psi_i(t,u(x,t)))\), \(i=1,2,\dots,k\).

DOI10.1016/0022-0396(81)90115-7zbMath0451.35034OpenAlexW2077007690MaRDI QIDQ1147892

John R. Cannon, Paul C. DuChateau

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90115-7

zbMATH Keywords

parabolic partial differential equationsexistence of weak solutionsregularity and compactness resultsretardation of the time arguments

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Cites Work

• An inverse problem for an unknown source in a heat equation
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
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