Antonio S. Munhoz, Antonio C. Souza Filho
Abstract:
We give conditions for the parabolic evolution operator
to be analytic with respect to a coefficient operator.
We also show that the solution of a homogeneous parabolic evolution
equation is analytic with respect to the coefficient operator and
to the initial data. We apply our results to example that
can not be studied by the standard methods.
Submitted July 20, 2007. Published February 9, 2009.
Math Subject Classifications: 35K90, 46T25, 47N20, 47L05.
Key Words: Linear equation; parabolic equation; nonautonomous.
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Antonio Sergio Munhoz Universidade Federal do Espirito Santo, Departamento de Matemática Av. Fernando Ferrari, 514, Vitória- ES, CEP 29075-910 - Brazil email: munhoz_br@yahoo.com.br |
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Antônio Calixto de Souza Filho Escola de Artes, Ciências e Humanidades. Universidade de São Paulo (EACH-USP) Rua Arlindo Béttio, 1000, Ermelindo Matarazzo, São Paulo CEP 03828-000 - Brazil email: acsouzafilho@usp.br |
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