Geodesic
Diffusion phenomenon for second order linear evolution equations
Ryo Ikehata 1   ; Kenji Nishihara 2
1 Department of Mathematics Graduate School of Education Hiroshima University Higashi-Hiroshima 739-8524, Japan
2 School of Political Sciences and Economics Waseda University Tokyo 169-8050, Japan
Studia Mathematica, Tome 158 (2003) no. 2, pp. 153-161 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm158-2-4
Keywords: present abstract theory diffusion phenomenon second order linear evolution equations hilbert space derive diffusion phenomenon device developed ikehata matsuyama applied several applications damped linear wave equations unbounded domains given

Ryo Ikehata  1   ; Kenji Nishihara  2

1 Department of Mathematics Graduate School of Education Hiroshima University Higashi-Hiroshima 739-8524, Japan
2 School of Political Sciences and Economics Waseda University Tokyo 169-8050, Japan 
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Ryo Ikehata; Kenji Nishihara. Diffusion phenomenon for
  second order linear evolution equations. Studia Mathematica, Tome 158 (2003) no. 2, pp. 153-161. doi: 10.4064/sm158-2-4

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