Displaying similar documents to “Evolution equations in non-cylindrical domains”

Evolution equations in non-cylindrical domains

Piermarco Cannarsa, Giuseppe Da Prato, Jean-Paul Zolésio (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Similarity:

We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..

Waves of excitations in heterogeneous annular region II. Strong asymmetry

Kristóf Kály-Kullai, András Volford, Henrik Farkas (2003)

Banach Center Publications

Similarity:

Excitation wave propagation in a heterogeneous medium around a circular obstacle is investigated, when the obstacle is located very eccentrically with respect to the interfacial circle separating the slow inner and the fast outer region. Qualitative properties of the permanent wave fronts are described, and the calculated wave forms are presented.

Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms

Petronela Radu (2008)

Applicationes Mathematicae

Similarity:

We show local existence of solutions to the initial boundary value problem corresponding to a semilinear wave equation with interior damping and source terms. The difficulty in dealing with these two competitive forces comes from the fact that the source term is not a locally Lipschitz function from H¹(Ω) into L²(Ω) as typically assumed in the literature. The strategy behind the proof is based on the physics of the problem, so it does not use the damping present in the equation. The...

On the nonlinear stabilization of the wave equation

Aissa Guesmia (1998)

Annales Polonici Mathematici

Similarity:

We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.