It is shown how one can get upper bounds for ju \Gamma vj when u and v are the (viscosity) solutions of u t \Gamma ff(Dxu)\Delta xu = 0 and v t \Gamma fi(Dxv)\Delta xv = 0; respectively, in (0; 1) with Dirichlet boundary conditions. Similar results are obtained for some other parabolic equations as well, including certain equations in divergence form. 1
We study the ‘‘generalized’ ’ Dirichlet problem (in the sense of viscosity solutions) for quasilinea...
Abstract. We study the Dirichlet problem for the parabolic equation ut = ∆um, m> 0 in a bounded, ...
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation...
We consider the initial boundary value problem for a fully-nonlinear parabolic equation in a half sp...
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
We study an elliptic-parabolic problem appearing in the theory of partially saturated flows in the f...
grantor: University of TorontoFor the Cauchy problem of a class of fully nonlinear degener...
International audienceWe prove interior Hölder estimate for the spatial gradients of the viscosity s...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
The Dirichlet problem is considered for the heat equation u_t = a u_xx, a>0 a constant, for (x,t) in...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
AbstractThe Dirichlet problem is considered for the heat equation ut=auxx, a>0 a constant, for (x,t)...
This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly e...
We derive a lower spatially Lipschitz bound for viscosity solutions to fully nonlinear parabolic par...
AbstractIn the present paper we consider the Dirichlet problem for quasilinear nonuniformly paraboli...
We study the ‘‘generalized’ ’ Dirichlet problem (in the sense of viscosity solutions) for quasilinea...
Abstract. We study the Dirichlet problem for the parabolic equation ut = ∆um, m> 0 in a bounded, ...
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation...
We consider the initial boundary value problem for a fully-nonlinear parabolic equation in a half sp...
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
We study an elliptic-parabolic problem appearing in the theory of partially saturated flows in the f...
grantor: University of TorontoFor the Cauchy problem of a class of fully nonlinear degener...
International audienceWe prove interior Hölder estimate for the spatial gradients of the viscosity s...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
The Dirichlet problem is considered for the heat equation u_t = a u_xx, a>0 a constant, for (x,t) in...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
AbstractThe Dirichlet problem is considered for the heat equation ut=auxx, a>0 a constant, for (x,t)...
This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly e...
We derive a lower spatially Lipschitz bound for viscosity solutions to fully nonlinear parabolic par...
AbstractIn the present paper we consider the Dirichlet problem for quasilinear nonuniformly paraboli...
We study the ‘‘generalized’ ’ Dirichlet problem (in the sense of viscosity solutions) for quasilinea...
Abstract. We study the Dirichlet problem for the parabolic equation ut = ∆um, m> 0 in a bounded, ...
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation...