Intrinsic scaling for PDE's with an exponential nonlinearity

Eurica Henriques; José Miguel Urbano

doi:10.1512/iumj.2006.55.2715

Intrinsic scaling for PDE's with an exponential nonlinearity

Eurica Henriques, José Miguel Urbano

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

37 Scopus citations

Abstract

We consider strongly degenerate equations in divergence form of the type ∂t - ∇ · (|u|γ(x,t)∇u) = f, where the exponential nonlinearity satisfies the condition 0 < γ- ≤ γ(x,t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal ©.

Original language	English (US)
Pages (from-to)	1701-1721
Number of pages	21
Journal	Indiana University Mathematics Journal
Volume	55
Issue number	5
DOIs	https://doi.org/10.1512/iumj.2006.55.2715
State	Published - Dec 21 2006
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2006.55.2715

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Y1 - 2006/12/21

N2 - We consider strongly degenerate equations in divergence form of the type ∂t - ∇ · (|u|γ(x,t)∇u) = f, where the exponential nonlinearity satisfies the condition 0 < γ- ≤ γ(x,t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal ©.

AB - We consider strongly degenerate equations in divergence form of the type ∂t - ∇ · (|u|γ(x,t)∇u) = f, where the exponential nonlinearity satisfies the condition 0 < γ- ≤ γ(x,t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal ©.

UR - http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2715&year=2006&volume=55

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DO - 10.1512/iumj.2006.55.2715

M3 - Article

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SP - 1701

EP - 1721

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 5

ER -

Intrinsic scaling for PDE's with an exponential nonlinearity

Abstract

Bibliographical note

ASJC Scopus subject areas

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