A parabolic quasilinear problem for linear growth functionals.

Fuensanta Andreu; Vincent Caselles; José María Mazón

Revista Matemática Iberoamericana (2002)

  • Volume: 18, Issue: 1, page 135-185
  • ISSN: 0213-2230

Abstract

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We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.

How to cite

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Andreu, Fuensanta, Caselles, Vincent, and Mazón, José María. "A parabolic quasilinear problem for linear growth functionals.." Revista Matemática Iberoamericana 18.1 (2002): 135-185. <http://eudml.org/doc/39652>.

@article{Andreu2002,
abstract = {We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.},
author = {Andreu, Fuensanta, Caselles, Vincent, Mazón, José María},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones parabólicas; Ecuaciones diferenciales cuasilineales; Problema de Dirichlet; Teorema de existencia; Unicidad; Funcionales; Operador no lineal; plastic antiplanar shear; time-dependent minimal surface equation},
language = {eng},
number = {1},
pages = {135-185},
title = {A parabolic quasilinear problem for linear growth functionals.},
url = {http://eudml.org/doc/39652},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Andreu, Fuensanta
AU - Caselles, Vincent
AU - Mazón, José María
TI - A parabolic quasilinear problem for linear growth functionals.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 1
SP - 135
EP - 185
AB - We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.
LA - eng
KW - Ecuaciones parabólicas; Ecuaciones diferenciales cuasilineales; Problema de Dirichlet; Teorema de existencia; Unicidad; Funcionales; Operador no lineal; plastic antiplanar shear; time-dependent minimal surface equation
UR - http://eudml.org/doc/39652
ER -

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