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Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces

Authors: Trần Văn Bằng, Trần Đức Vân,

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Publisher, magazine: ,

Publication year: 2006

  Lưu        Trích dẫn         Chia sẻ

Abstract

In this paper we prove the existence and uniqueness of viscosity aolutions of the Cauchy problem for the second order nonliinear partial diferential equations in Hilbert spaces.

Tags: Hamilton-Jacobi equations, viscosity solutions.

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The uniqueness of viscosity solutions of second order nonlinear partial differential equations in a Hilbert space of two-dimensional functions

Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces

On the Existence, Uniqueness, and Stability of β-Viscosity Solutions to a Class of Hamilton-Jacobi Equations in Banach Spaces