The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian

DOI10.1016/J.JMAA.2007.07.076zbMath1145.35073OpenAlexW2009907305MaRDI QIDQ2465892

Changyu Ren

Publication date: 10 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.076

zbMATH Keywords

Monge-Ampère type equationgeneral existence and uniqueness theoremparabolic Hessian equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)

Related Items (1)

On critical exponents of ak-Hessian equation in the whole space

Cites Work

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• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• Matrix Analysis
• SOLUTION OF THE DIRICHLET PROBLEM FOR SOME EQUATIONS OF MONGE-AMPÈRE TYPE

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