2026-04-13T01:26:21Zhttps://recercat.cat/oai/requestoai:recercat.cat:10230/361662025-12-20T16:48:24Zcom_2072_6col_2072_452952
RECERCAT
author
Andreu, Fuensanta
author
Caselles, Vicente
author
Mazón, José
2018-12-20T15:43:25Z2018-12-20T15:43:25Z2002
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. A typical example of energy functional we consider is the one given by the nonparametric area integrand f(x,ξ)=√1+∥ξ∥2, which corresponds with the time-dependent minimal surface equation. We also study the asymptotic behaviour of the solutions.The first and third authors have been partially supported by the Spanish DGICYT, Project PB98-1442. The second author acknowledges partial support by the TMR European Project “Viscosity Solutions and their Applications”, reference FMRX-CT98-0234 and the PNPGC, Project BFM 2000-0962-C02-01.
© European Mathematical Society (EMS) info:eu-repo/semantics/openAccess
Linear growth functionals
Nonlinear parabolic equations
Accretive operators
Nonlinear semigroups
A Parabolic quasilinear problem for linear growth functionals
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion