$L^p-L^q$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion

Arkadiusz Szymaniec. "$L^{p}-L^{q}$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion." Applicationes Mathematicae 37.2 (2010): 143-170. <http://eudml.org/doc/279860>.

@article{ArkadiuszSzymaniec2010,
abstract = {We consider the initial-value problem for a linear hyperbolic parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove $L^p-L^q$ time decay estimates for the solution of the associated linear Cauchy problem.},
author = {Arkadiusz Szymaniec},
journal = {Applicationes Mathematicae},
keywords = {parabolic-hyperbolic coupled system},
language = {eng},
number = {2},
pages = {143-170},
title = {$L^\{p\}-L^\{q\}$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion},
url = {http://eudml.org/doc/279860},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Arkadiusz Szymaniec
TI - $L^{p}-L^{q}$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 2
SP - 143
EP - 170
AB - We consider the initial-value problem for a linear hyperbolic parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove $L^p-L^q$ time decay estimates for the solution of the associated linear Cauchy problem.
LA - eng
KW - parabolic-hyperbolic coupled system
UR - http://eudml.org/doc/279860
ER -