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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-4, 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} }
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/