Electron. J. Diff. Equ., Vol. 2014 (2014), No. 225, pp. 1-10.

Solution of an initial-value problem for parabolic equations via monotone operator methods

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
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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