RT Journal Article
T1 The Heat Equaton with General Periodic Boundary Conditions
A1 Rodríguez Bernal, Aníbal
AB In this paper we address the well posedness of the linear heat equation under general periodic boundary conditions in several settings depending on the properties of the initial data. We develop an Lq theory not based on separation of variables and use techniques based on uniform spaces. We also allow less directions of periodicity than the dimension of the problem. We obtain smoothing estimates on the solutions. Also, based on symmetry arguments, we handle Dirichlet or Neumann boundary conditions in some faces of the unit cell.
PB Springer Netherlands
SN 09262601
YR 2017
FD 2017-02
LK https://hdl.handle.net/20.500.14352/17569
UL https://hdl.handle.net/20.500.14352/17569
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Ministerio de Economía y Competitividad (MINECO)
NO Grupo 920894 (UCM)
DS Docta Complutense
RD 7 abr 2025