Exact Decay Estimates for Solutions to Semilinear Parabolic Equations

J. M. Ghidaglia; Alfredo Marzocchi

doi:10.1080/00036819108840034

Exact Decay Estimates for Solutions to Semilinear Parabolic Equations

J. M. Ghidaglia, Alfredo Marzocchi

École normale supérieure Paris-Saclay

Research output: Contribution to journal › Article

Abstract

Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. © 1991, Taylor & Francis Group, LLC. All rights reserved.

Original language	English
Pages (from-to)	69-81
Number of pages	13
Journal	Applicable Analysis
Volume	42
DOIs	https://doi.org/10.1080/00036819108840034
Publication status	Published - 1991

Keywords

asymptotic behavior
Semilinear parabolic equations
p-laplacian

Access to Document

10.1080/00036819108840034

Cite this

@article{8464cf13509f4dd0aa2e24afe9ba16bc,

title = "Exact Decay Estimates for Solutions to Semilinear Parabolic Equations",

abstract = "Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. {\textcopyright} 1991, Taylor & Francis Group, LLC. All rights reserved.",

keywords = "asymptotic behavior, Semilinear parabolic equations, p-laplacian, asymptotic behavior, Semilinear parabolic equations, p-laplacian",

author = "Ghidaglia, {J. M.} and Alfredo Marzocchi",

year = "1991",

doi = "10.1080/00036819108840034",

language = "English",

volume = "42",

pages = "69--81",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "London : Taylor & Francis -New York ; London : Gordon and Breach, 1971-",

}

TY - JOUR

T1 - Exact Decay Estimates for Solutions to Semilinear Parabolic Equations

AU - Ghidaglia, J. M.

AU - Marzocchi, Alfredo

PY - 1991

Y1 - 1991

N2 - Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. © 1991, Taylor & Francis Group, LLC. All rights reserved.

AB - Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. © 1991, Taylor & Francis Group, LLC. All rights reserved.

KW - asymptotic behavior

KW - Semilinear parabolic equations

KW - p-laplacian

KW - asymptotic behavior

KW - Semilinear parabolic equations

KW - p-laplacian

UR - http://hdl.handle.net/10807/268521

U2 - 10.1080/00036819108840034

DO - 10.1080/00036819108840034

M3 - Article

SN - 0003-6811

VL - 42

SP - 69

EP - 81

JO - Applicable Analysis

JF - Applicable Analysis

ER -

Exact Decay Estimates for Solutions to Semilinear Parabolic Equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this