Springer Monographs in Mathematics.
Springer.
2017.
P. 183-210
Well-Posedness and Regularity for the Wave Equation with Variable Coefficients
In this chapter, we will consider the initial-boundary value problem for the wave equation on a manifold with boundary . The initial-boundary value problem corresponds to the elliptic operator −Δg−Δg introduced in Chap. 2. We will develop a standard approach to prove the existence and uniqueness of solutions and to study their regularity proprieties. © 2017, Springer Science and Business Media Deutschland GmbH. All rights reserved.
Authors
Bellassoued M.1
,
Yamamoto M.
2,
3
Collection of articles
Publisher
Springer
Language
English
Pages
63-80
Status
Published
Year
2017
Organizations
- 1 Department of Mathematics, ENIT—LAMSIN, University of Tunis El Manar, Tunis, Tunisia
- 2 Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
- 3 Research Center of Nonlinear Problems of Mathematical Physics, Peoples’ Friendship University of Russia, Moscow, Russian Federation
Share
Other records
Springer Monographs in Mathematics.
Springer.
2017.
P. 211-223