Dept. Math, Hokkaido Univ. EPrints Server

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations

Preprint Series # 605
Bardi, Martino and Giga, Yoshikazu Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations. (2003);

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Abstract

We study Hamilton-Jacobi equations with upper semicontinuous initial data without convexity assumptions on the Hamiltonian. We analyse the behavior of generalized u.s.c. solutions at the initial time t = 0, and find necessary and sufficient conditions on the Hamiltonian such that the solution attains the initial data along a sequence (right accessibility).

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:59