RT Journal Article
T1 On the loss of mass for the heat equation in an exterior domain with general boundary conditions
A1 Rodríguez Bernal, Aníbal
A1 Domínguez de Tena, Joaquín
AB In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount of mass loss and identify criteria for complete mass decay, in which the dimension of the space plays a key role. Furthermore, the paper provides explicit mass decay rates.
SN 1982-6907
YR 2023
FD 2023-10-30
LK https://hdl.handle.net/20.500.14352/88909
UL https://hdl.handle.net/20.500.14352/88909
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 25 abr 2025