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.
La Rosa, V., Vetro, C. (2014). Solution of an initial-value problem for parabolic equations via monotone operator methods. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 1-10.
Solution of an initial-value problem for parabolic equations via monotone operator methods
LA ROSA, Vincenzo;VETRO, Calogero
2014-01-01
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.
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