TY - JOUR
T1 - On the Dirichlet problem for vectorial Hamilton-Jacobi equations
JF - SIAM J. Math. Anal. 29 (1998) 1481-1491
Y1 - 1998
A1 - Sandro Zagatti
AB - We give sufficient conditions for the existence of solutions to the Hamilton--Jacobi equations with Dirichlet boundary condition: $$ \\\\cases{ g(x,{\\\\hbox{\\\\rm det}}Du(x))=0, \\\\ & for a.e. $x\\\\in\\\\Omega,$\\\\cr u(x)=\\\\varphi(x), & for $x\\\\in\\\\partial\\\\Omega,$} $$ obtaining, in addition, an application to the theory of existence of minimizers for a class of nonconvex variational problems.
PB - SIAM
UR - http://hdl.handle.net/1963/3512
U1 - 752
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -