Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation
نویسندگان
چکیده
منابع مشابه
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation
We consider an abstract second order linear equation with a strong dissipation, namely a friction term which depends on a power of the “elastic” operator. In the homogeneous case, we investigate the phase spaces in which the initial value problem gives rise to a semigroup, and the further regularity of solutions. In the nonhomogeneous case, we study how the regularity of solutions depends on th...
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Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation
Yaojun Ye Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, China Correspondence should be addressed to Yaojun Ye, [email protected] Received 14 December 2009; Revised 21 May 2010; Accepted 4 August 2010 Academic Editor: Tocka Diagana Copyright q 2010 Yaojun Ye. This is an open access article distributed under the Creative...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2015
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/6520