Null controllability of viscous Hamilton–Jacobi equations

Namah, Time periodic viscosity solutions of Hamilton-Jacobi equations, Comm. in Pure

Then, for each of the two equations, we precisely identify all those initial data yielding a solution that coincide with a given profile at that positive

We refer to [14] for the study of equation (1.1) or more general quasilinear parabolic equations with rough initial data, where we give new decay and uniqueness properties.. The

V´eron, The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption, Comm. Stein, Singular integrals and

Theorem 11.. Barles, Remarques sur des r´ esultats d’existence pour les ´ equations de Hamilton-Jacobi du premier ordre, Ann. Mitake, On the large time behavior of solutions

MURAT, Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions, Arch.. Ra-

Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton-Jacobi equations.. Nonlinear Differential Equations and Applica- tions, Springer

We compare our result with the classical representation in terms of (super)quadratic BSDEs, and show in particular that existence of a viscosity solution to the viscous HJ equation