Gaussian estimates for fundamental solutions to certain parabolic systems.

Hofmann, Steve, and Kim, Seick. "Gaussian estimates for fundamental solutions to certain parabolic systems.." Publicacions Matemàtiques 48.2 (2004): 481-496. <http://eudml.org/doc/41508>.

@article{Hofmann2004,
abstract = {Auscher proved Gaussian upper bound estimates for the fundamental solutions to parabolic equations with complex coefficients in the case when coefficients are time-independent and a small perturbation of real coefficients. We prove the equivalence between the local boundedness property of solutions to a parabolic system and a Gaussian upper bound for its fundamental matrix. As a consequence, we extend Auscher's result to the time dependent case.},
author = {Hofmann, Steve, Kim, Seick},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales en derivadas parciales; Ecuaciones parabólicas; Acotación; complex coefficients; local boundedness},
language = {eng},
number = {2},
pages = {481-496},
title = {Gaussian estimates for fundamental solutions to certain parabolic systems.},
url = {http://eudml.org/doc/41508},
volume = {48},
year = {2004},
}

TY - JOUR
AU - Hofmann, Steve
AU - Kim, Seick
TI - Gaussian estimates for fundamental solutions to certain parabolic systems.
JO - Publicacions Matemàtiques
PY - 2004
VL - 48
IS - 2
SP - 481
EP - 496
AB - Auscher proved Gaussian upper bound estimates for the fundamental solutions to parabolic equations with complex coefficients in the case when coefficients are time-independent and a small perturbation of real coefficients. We prove the equivalence between the local boundedness property of solutions to a parabolic system and a Gaussian upper bound for its fundamental matrix. As a consequence, we extend Auscher's result to the time dependent case.
LA - eng
KW - Ecuaciones diferenciales en derivadas parciales; Ecuaciones parabólicas; Acotación; complex coefficients; local boundedness
UR - http://eudml.org/doc/41508
ER -