RT Journal Article
T1 Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity
A1 Arrieta Algarra, José María
A1 Rodríguez Bernal, Aníbal
A1 Valero, José
AB We study the nonlinear dynamics of a reaction-diffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of fixed points and study their stability. Finally, we analyze the existence of heteroclinic connections between the fixed points, obtaining information on the fine structure of the global attractor.
PB World Scientific Publishing
SN 0218-1274
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49740
UL https://hdl.handle.net/20.500.14352/49740
LA eng
NO DGES
NO MCYT
NO FEDER
NO Consejería de Cultura y Educación (Comunidad Autónoma de Murcia)
DS Docta Complutense
RD 6 abr 2025