We study existence and regularity of distributional solutions for a class of nonlinear parabolic problems. The equations we consider have a quasilinear diffusion operator and a lower order term which may grow quadratically in the gradient and may have a very fast growth (for instance exponential) with respect to the solution.
Nonlinear parabolic problems with a very general quadratic gradient term / Dall'Aglio, Andrea; Giachetti, Daniela; SEGURA DE LEON, S.. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 20:(2007), pp. 361-396.
Nonlinear parabolic problems with a very general quadratic gradient term.
DALL'AGLIO, Andrea;GIACHETTI, Daniela;
2007
Abstract
We study existence and regularity of distributional solutions for a class of nonlinear parabolic problems. The equations we consider have a quasilinear diffusion operator and a lower order term which may grow quadratically in the gradient and may have a very fast growth (for instance exponential) with respect to the solution.File allegati a questo prodotto
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