Add to ORKGExistence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an iterative argument in some Banach space. This usually yields uniqueness in the same Banach space where the fixed point is performed. We give here two methods to prove uniqueness in a more natural class. The first one is based on proving some estimates in a less regular space. The second one is based on a duality argument. In this paper, we present some results obtained in collaboration with Pierre-Louis Lions, with Kenji Nakanishi and with Fabrice Planchon. 1
The purpose of this article is to study the existence of a coincidence point for two mappings define...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
AbstractIn this paper we establish existence-uniqueness of solution of a class of singular boundary ...
AbstractThe purpose of this paper is to give a simple uniqueness result for a class of nonlinear par...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
We prove a general criterion for the uniqueness of critical points of a functional in the presence o...
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the...
In my research project I review some elementary application of fixed point principles to prove exist...
Recently Medeiros and Diaz and Weinacht have considered the question of uniqueness for the Cauchy pr...
We consider a family of two-point n−1,1 boundary value problems for nth order nonlinear ordinary dif...
ABSTRACT. It is assumed that solutions of the dierential equation y000 = f(x; y; y0; y00), with cert...
This thesis addresses existence and uniqueness of solutions to certain classes of initial-value prob...
[[abstract]]The uniqueness of solutions of certain boundary value problems implies their existence f...
Copyright © 2014 Ezzat R. Hassan et al.This is an open access article distributed under the Creative...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
The purpose of this article is to study the existence of a coincidence point for two mappings define...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
AbstractIn this paper we establish existence-uniqueness of solution of a class of singular boundary ...
AbstractThe purpose of this paper is to give a simple uniqueness result for a class of nonlinear par...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
We prove a general criterion for the uniqueness of critical points of a functional in the presence o...
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the...
In my research project I review some elementary application of fixed point principles to prove exist...
Recently Medeiros and Diaz and Weinacht have considered the question of uniqueness for the Cauchy pr...
We consider a family of two-point n−1,1 boundary value problems for nth order nonlinear ordinary dif...
ABSTRACT. It is assumed that solutions of the dierential equation y000 = f(x; y; y0; y00), with cert...
This thesis addresses existence and uniqueness of solutions to certain classes of initial-value prob...
[[abstract]]The uniqueness of solutions of certain boundary value problems implies their existence f...
Copyright © 2014 Ezzat R. Hassan et al.This is an open access article distributed under the Creative...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
The purpose of this article is to study the existence of a coincidence point for two mappings define...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
AbstractIn this paper we establish existence-uniqueness of solution of a class of singular boundary ...