Bounded Solutions to Nonlinear Parabolic Equations | Zendy

Jaouad Igbida | Zendy

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Bounded Solutions to Nonlinear Parabolic Equations

Author(s) -

Jaouad Igbida

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/574382

Subject(s) - compact space , bounded function , a priori and a posteriori , mathematics , nonlinear system , term (time) , quadratic equation , parabolic partial differential equation , mathematical analysis , a priori estimate , function (biology) , partial differential equation , physics , philosophy , geometry , epistemology , quantum mechanics , evolutionary biology , biology

We deal with existence results for nonlinear parabolic equations with general quadratic gradient terms and with absorption term which depend on the solution. We note that no boundedness is assumed on the data of the problem. We prove an existence result of distributional solution via test-function method. A priori estimates and compactness arguments are our main ingredient; the method of sub-supersolution does not apply her.

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