Diffusion phenomenon for second order linear evolution equations
Ryo Ikehata ; Kenji Nishihara
Studia Mathematica, Tome 157 (2003), p. 153-161 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284528
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     author = {Ryo Ikehata and Kenji Nishihara},
     title = {Diffusion phenomenon for second order linear evolution equations},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {153-161},
     zbl = {1029.35186},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-4}
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Ryo Ikehata; Kenji Nishihara. Diffusion phenomenon for second order linear evolution equations. Studia Mathematica, Tome 157 (2003) pp. 153-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-4/