Antonio S. Munhoz, Antonio C. Souza Filho
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
| 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
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