In this work we study the global existence of a solution to some semilinear parabolic problems having slightly superlinear reaction terms g(u) and measure data, (“slightly” in the sense that 1/g is not integrable at ?). One of the main tools is a new logarithmic Sobolev inequality. We also prove some uniqueness results.
Global existence for slightly super-linear parabolic equations with measure data / Dall'Aglio, Andrea; Giachetti, Daniela; Peral, I; SEGURA DE LEON, S.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 345:(2008), pp. 892-902. [10.1016/j.jmaa.2008.05.022]
Global existence for slightly super-linear parabolic equations with measure data
DALL'AGLIO, Andrea;GIACHETTI, Daniela;
2008
Abstract
In this work we study the global existence of a solution to some semilinear parabolic problems having slightly superlinear reaction terms g(u) and measure data, (“slightly” in the sense that 1/g is not integrable at ?). One of the main tools is a new logarithmic Sobolev inequality. We also prove some uniqueness results.File allegati a questo prodotto
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