STUDY OF EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS OF SOME SYSTEMS AND PARTIAL DIFFERENTIAL EQUATIONS

Abstract

In this work we are concerned to prove the existence, uniqueness and the continuous dependance of a strong solution upon the data of some mixed problems with classical ( Dirichlet, Neumann) and integral conditions for a hyperbolic class of equations and for a hyperbolic system. In a first case, we treate a mixed problem with purely classical conditions and in a second case we combine a classical and an integral condition. In our proofs, we use functionnal analysis method.