On the regularity theory of fully nonlinear parabolic equations

DOI10.1090/S0273-0979-1990-15854-9zbMath0709.35019OpenAlexW2059118857MaRDI QIDQ5899968

Lihe Wang

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15854-9

zbMATH Keywords

viscosity solutionsnonlinear heat equationsderivative estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items

Weighted Lorentz and Lorentz–Morrey estimates to viscosity solutions of fully nonlinear elliptic equations, Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations, Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian

Cites Work

• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Operatori ellittice estremanti
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• A harnack inequality for parabolic differential equations