The obstacle problem for degenerate doubly nonlinear equations of porous medium type

Schätzler L (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Annali Di Matematica Pura Ed Applicata Springer Verlag (Germany)

DOI: 10.1007/s10231-020-01008-y

Abstract

We prove the existence of nonnegative variational solutions to the obstacle problem associated with the degenerate doubly nonlinear equation ∂tb(u)-div(Df(Du))=0,where the nonlinearity b: R≥ 0→ R≥ 0 is increasing, piecewise C1 and satisfies a polynomial growth condition. The prototype is b(u) : = um with m∈ (0 , 1). Further, f: Rn→ R≥ 0 is convex and fulfills a standard p-growth condition. The proof relies on a nonlinear version of the method of minimizing movements.

Authors with CRIS profile

Leah Schätzler

Additional Organisation(s)

Lehrstuhl für Partial Differential Equations

How to cite

APA:

Schätzler, L. (2020). The obstacle problem for degenerate doubly nonlinear equations of porous medium type. Annali Di Matematica Pura Ed Applicata. https://dx.doi.org/10.1007/s10231-020-01008-y

MLA:

Schätzler, Leah. "The obstacle problem for degenerate doubly nonlinear equations of porous medium type." Annali Di Matematica Pura Ed Applicata (2020).

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