Abstract
We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hubert 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.
| Original language | English |
|---|---|
| Pages (from-to) | 153-161 |
| Number of pages | 9 |
| Journal | Studia Mathematica |
| Volume | 158 |
| Issue number | 2 |
| Publication status | Published - 2003 |
Keywords
- Asymptotic profile
- Dissipative wave equations
- Heat equations
- Optimum decay rate
ASJC Scopus subject areas
- Mathematics(all)