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Fast decay of solutions for wave equations with localized dissipation on noncompact Riemannian manifolds
Affiliation:1. Departamento de Informática, Universidade Federal do Espírito Santo, Av. Fernando Ferrari 541, 29075-910 Vitória ES, Brazil;2. Departamento de Computação e Eletrônica, Universidade Federal do Espírito Santo, Rodovia BR 101 Norte Km. 60, 29932-540 São Mateus, ES, Brazil;3. Department of Computer Science, City University London Northampton Square, London EC1V 0HB, UK;1. College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, PR China;2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110819, PR China;3. Graduate School of Business and Law, RMIT University, Melbourne, VIC 3000, Australia;1. University of Pennsylvania, Department of Mathematics, David Rittenhouse Lab, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA;2. Massachusetts Institute of Technology, Department of Mathematics, Building 2, 77 Massachusetts Avenue, Cambridge, MA 01239-4301, USA;1. School of Mathematical Sciences, Peking University, Beijing, 100871, China;2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China;1. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan;2. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
Abstract:
Keywords:Wave equation on Riemannian manifolds  Localized dissipation  Fast energy decay  Wave equation with variable coefficient  Exterior domain
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