Details
| Original language | English |
|---|---|
| Pages (from-to) | 97-111 |
| Number of pages | 15 |
| Journal | Journal of Evolution Equations |
| Volume | 2 |
| Issue number | 1 |
| Publication status | Published - 2002 |
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
- Dynamic boundary conditions, Elliptic equations, Global solutions, Quasilinear parabolic equations, Weakly coupled reaction-diffusion systems
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
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In: Journal of Evolution Equations, Vol. 2, No. 1, 2002, p. 97-111.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Global solutions for quasilinear parabolic problems
AU - Constantin, Adrian
AU - Escher, Joachim
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 - Dynamic boundary conditions
KW - Elliptic equations
KW - Global solutions
KW - Quasilinear parabolic equations
KW - Weakly coupled reaction-diffusion systems
UR - http://www.scopus.com/inward/record.url?scp=0142014510&partnerID=8YFLogxK
U2 - 10.1007/s00028-002-8081-2
DO - 10.1007/s00028-002-8081-2
M3 - Article
AN - SCOPUS:0142014510
VL - 2
SP - 97
EP - 111
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
SN - 1424-3199
IS - 1
ER -