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Diffusion phenomenon for second order linear evolution equations

Ryo Ikehata; Kenji Nishihara — 2003

Studia Mathematica

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.

Large time behavior of solutions to the Cauchy problem for one-dimensional thermoelastic system with dissipation.

Nishihara, Kenji; Nishibata, Shinya — 2001

Journal of Inequalities and Applications [electronic only]

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