Mini review of fundamental notions in the theory of fully nonlinear elliptic second-order differential equations

DOI10.1007/BF02680147zbMath0966.35042MaRDI QIDQ1588966

Nina M. Ivochkina

Publication date: 10 December 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

viscosityBellman equationsnontotally elliptic equationstotally elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (1)

On new structures in the theory of fully nonlinear equations

Cites Work

• Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• On the Dirichlet problem for Hessian equations
• The Dirichlet problem for the prescribed curvature equations
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• Viscosity Solutions of Hamilton-Jacobi Equations
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
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