A nonlinear diffusive equation with moving boundaries is analyzed by constructing the corresponding Dirichlet-to-Neumann map. In particular, the Dirichlet boundary value and the initial condition are used to derive the unknown Neumann boundary value. Then, a contraction-mapping technique is used to prove existence and uniqueness of the solution for small times.
Dirichlet to Neumann Map for a Nonlinear Diffusion Equation
DE LILLO, Silvana;LUPO, GAIA;
2011
Abstract
A nonlinear diffusive equation with moving boundaries is analyzed by constructing the corresponding Dirichlet-to-Neumann map. In particular, the Dirichlet boundary value and the initial condition are used to derive the unknown Neumann boundary value. Then, a contraction-mapping technique is used to prove existence and uniqueness of the solution for small times.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
