Eduardo Hernandez M.
We prove the existence of regular solutions for the quasi-linear evolution
where is the infinitesimal generator of an analytic semigroup of bounded linear operators defined on a Banach space and the functions are continuous.
Submitted December 14, 2000. Published April 10, 2001.
Math Subject Classifications: 35A05, 34G20, 34A09.
Key Words: Banach spaces, semigroup of linear operators, abstract differential equations, fractional powers of closed operators, regular solutions.
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| Eduardo Hernandez M. |
Departamento de Matematica
Instituto de Ciencias Matematicas de Sao Carlos
Universidade de Sao Paulo
Caixa Postal 668
13560-970 Sao Carlos, SP. Brazil
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