Diffusion phenomenon for second order linear evolution equations
Tom 158 / 2003
Studia Mathematica 158 (2003), 153-161
MSC: 35B40, 35E15, 34G10, 35L90.
DOI: 10.4064/sm158-2-4
Streszczenie
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.
