Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems

• Published in: Український математичний вісник
• Date: 2004
• Main Authors: Dall'Aglio, A., Giachett, D., Segura de Leon, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124629
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems / A. Dall'Aglio, D. Giachett, S. Segura de Leon // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 518-531. — Бібліогр.: 13 назв. — англ.

We are interested in the existence of distributional solutions for two types of nonlinear evolution problems, whose models are (1.1) and (1.2) below. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth. In the second one we consider a first order t...