Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems

S Boulite; L Maniar; M Moussi

doi:10.1515/FORUM.2006.032

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Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems

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Published/Copyright: August 14, 2006

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From the journal Volume 18 Issue 4

Abstract

In this paper, we are interested in the wellposedness of inhomogeneous non-autonomous boundary Cauchy problems. We prove variation of constants formulas and Dyson-Phillips series which will allow us to study the asymptotic behaviour of the solutions to these problems.

(Communicated by Giorgio Talenti)

Received: 2004-05-13

Revised: 2004-11-10

Published Online: 2006-08-14

Published in Print: 2006-07-01

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Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
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https://doi.org/10.1515/FORUM.2006.032

Articles in the same Issue

Optimal Sobolev imbeddings
On spectral gaps and exit time distributions for a non-smooth domain
Sums of three squares over imaginary quadratic fields
Totally projective unit groups in modular abelian group algebras
Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
On large deviations for random currents induced from stochastic line integrals
A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
On a question of Lillian Pierce