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Global existence for some slightly super-linear parabolic equations with measure data
Authors:Andrea Dall'Aglio,Sergio Segura de Leó  n
Affiliation:a Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro 5, I-00185 Roma, Italy
b Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma “La Sapienza”, Via A. Scarpa, 16 I-00161 Roma, Italy
c Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain
d Departament d'Anàlisi Matemàtica, Facultat de Matemàtiques, C/ Dr. Moliner 50, 46100 Burjassot, Valencia, Spain
Abstract:In this work we study the global existence of a solution to some parabolic problems whose model is
(1)
Keywords:Global existence and uniqueness of semilinear parabolic equations   Slightly superlinear reaction terms   Measure data   Sobolev logarithmic inequalities
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