An improperly posed estimate for the equation |u|αut=uxx+F(u)(0 <α <1)

DOI10.1080/00036810412331297271zbMath1067.35144OpenAlexW1982000436WikidataQ58245347 ScholiaQ58245347MaRDI QIDQ4659561

Kazuya Hayasida

Publication date: 21 March 2005

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

Full work available at URL: https://doi.org/10.1080/00036810412331297271

zbMATH Keywords

fast diffusionnoncharacteristic Cauchy problemdegenerate quasilinear parabolic equationestimation on the continuous dependence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• An ill-posed estimate of positive solutions of a degenerate nonlinear parabolic equation
• Alcune limitazioni per le soluzioni di equazioni paraboliche
• A Cauchy problem for the heat equation
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations