Global solutions for quasilinear parabolic problems

Adrian Constantin; J Escher

doi:10.1007/s00028-002-8081-2

Global solutions for quasilinear parabolic problems

Adrian Constantin, J Escher

Matematik (naturvetenskapliga fakulteten)

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.

Originalspråk	engelska
Sidor (från-till)	97-111
Tidskrift	Journal of Evolution Equations
Volym	2
Nummer	1
DOI	https://doi.org/10.1007/s00028-002-8081-2
Status	Published - 2002

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Matematik

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10.1007/s00028-002-8081-2

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@article{15de4834bb4b4cfa88a7004dccf85a1b,

title = "Global solutions for quasilinear parabolic problems",

abstract = "Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.",

keywords = "elliptic equations, conditions, dynamic boundary, reaction-diffusion systems, weakly coupled, global solutions, quasilinear parabolic equations",

author = "Adrian Constantin and J Escher",

year = "2002",

doi = "10.1007/s00028-002-8081-2",

language = "English",

volume = "2",

pages = "97--111",

journal = "Journal of Evolution Equations",

issn = "1424-3199",

publisher = "Birkh{\"a}user",

number = "1",

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TY - JOUR

T1 - Global solutions for quasilinear parabolic problems

AU - Constantin, Adrian

AU - Escher, J

PY - 2002

Y1 - 2002

N2 - Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.

AB - Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.

KW - elliptic equations

KW - conditions

KW - dynamic boundary

KW - reaction-diffusion systems

KW - weakly coupled

KW - global solutions

KW - quasilinear parabolic equations

U2 - 10.1007/s00028-002-8081-2

DO - 10.1007/s00028-002-8081-2

M3 - Article

SN - 1424-3199

VL - 2

SP - 97

EP - 111

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 1

ER -

Global solutions for quasilinear parabolic problems

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