RT journal article
T1 On semidiscrete models dominated by the heat, wave and Laplace equations
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 discrete Laplacian
K1 Bessel functions
K1 semidiscrete heat
K1 wave and Laplace equations
K1 Lebesgue regularity
K1 semigroups and cosine functions of operators
AB We introduce a method to solve linear semidiscrete equations that provides for the first time explicit solutions for some well-known models such as the semidiscrete advection-diffusion equation and the semidiscrete Lighthill-Whitham-Richards equation, among others. We find conditions in the parameters of the model under which it can be dominated by the heat, wave or Laplace equations. We illustrate the fundamental solutions for all the cases based on the newly developed solution formulas. We also study spatial and time regularity in Lebesgue spaces for these models.
SN 1553-5231
YR 2024
FD 2024
LK http://hdl.handle.net/10498/34356
UL http://hdl.handle.net/10498/34356
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026