Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

B. Cockburn; G. Gripenberg

doi:10.1006/jdeq.1998.3499

Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

B. Cockburn, G. Gripenberg

Mathematics

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

Explicit estimates for the continuous dependence inL^∞([0,T];L¹(R^d)) of solutions of the equation ∂_lv=∇·(Φ(v))+Δ(φ(v)) (in (0,∞)×R^d with initial condition v(0,·)=h) with respect to the nonlinear continuously differential functions Φ and φ are established.

Original language	English (US)
Pages (from-to)	231-251
Number of pages	21
Journal	Journal of Differential Equations
Volume	151
Issue number	2
DOIs	https://doi.org/10.1006/jdeq.1998.3499
State	Published - Jan 20 1999

Bibliographical note

Funding Information:
* Partially supported by the National Science Foundation (Grant DMS-9407962).

Keywords

Degenerate
Dependence on data
Nonlinear
Parabolic

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KW - Dependence on data

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KW - Parabolic

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Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

Abstract

Bibliographical note

Keywords

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