Partial Differential Equations - The obstacle problem for singular doubly nonlinear equations of porous medium type, by Leah Schätzler, communicated on 14 February 2020.

Schätzler L (2020)


Publication Type: Journal article

Publication year: 2020

Journal

Book Volume: 31

Pages Range: 503-548

Journal Issue: 3

DOI: 10.4171/RLM/903

Abstract

In this paper we prove the existence of variational solutions to the obstacle problem associated with doubly nonlinear equations {equation presented} = 0 with m > 1 and a convex function f satisfying a standard p-growth condition for an exponent p ϵ (1,∞) in a bounded space-time cylinder ΔT:= Δ × (O,T). The obstacle function φ and the boundary values g are time dependent. The proof relies on a nonlinear version of the method of minimizing movements.

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APA:

Schätzler, L. (2020). Partial Differential Equations - The obstacle problem for singular doubly nonlinear equations of porous medium type, by Leah Schätzler, communicated on 14 February 2020. Rendiconti Lincei. Matematica e Applicazioni, 31(3), 503-548. https://dx.doi.org/10.4171/RLM/903

MLA:

Schätzler, Leah. "Partial Differential Equations - The obstacle problem for singular doubly nonlinear equations of porous medium type, by Leah Schätzler, communicated on 14 February 2020." Rendiconti Lincei. Matematica e Applicazioni 31.3 (2020): 503-548.

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