Vincenzo La Rosa, Calogero Vetro
Abstract:
We study a general initial-value problem for parabolic equations in Banach
spaces, by using a monotone operator method. We provide sufficient conditions
for the existence of solution to such problem.
Submitted April 18, 2014. Published October 22, 2014.
Math Subject Classifications: 35K15, 47H07, 47H10.
Key Words: Banach spaces; metric spaces; monotone operators;
parabolic equations; transitive relations.
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Vincenzo La Rosa Università degli Studi di Palermo Dipartimento di Matematica e Informatica Via Archirafi, 34 - 90123 Palermo, Italy email: vincenzo.larosa@math.unipa.it |
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Calogero Vetro Università degli Studi di Palermo Dipartimento di Matematica e Informatica Via Archirafi, 34 - 90123 Palermo, Italy email: cvetro@math.unipa.it |
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