Diffusion phenomenon for second order linear evolution equations
Studia Mathematica (2003)
- Volume: 158, Issue: 2, page 153-161
- ISSN: 0039-3223
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topRyo Ikehata, and Kenji Nishihara. "Diffusion phenomenon for second order linear evolution equations." Studia Mathematica 158.2 (2003): 153-161. <http://eudml.org/doc/284528>.
@article{RyoIkehata2003,
abstract = {We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.},
author = {Ryo Ikehata, Kenji Nishihara},
journal = {Studia Mathematica},
keywords = {dissipative wave equations; heat equations; asymptotic profile; optimum decay rate},
language = {eng},
number = {2},
pages = {153-161},
title = {Diffusion phenomenon for second order linear evolution equations},
url = {http://eudml.org/doc/284528},
volume = {158},
year = {2003},
}
TY - JOUR
AU - Ryo Ikehata
AU - Kenji Nishihara
TI - Diffusion phenomenon for second order linear evolution equations
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 2
SP - 153
EP - 161
AB - We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.
LA - eng
KW - dissipative wave equations; heat equations; asymptotic profile; optimum decay rate
UR - http://eudml.org/doc/284528
ER -
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