Decay Estimates for Fourth Order Wave Equations
نویسندگان
چکیده
منابع مشابه
Decay Estimates for Fourth Order Wave Equations
may be thought of as a nonlinear beam equation. In this paper we obtain both L-L estimates and space-time integrability estimates on solutions to the linear equation. We also use these estimates to study the local existence and asymptotic behavior of solutions to the nonlinear equation, for nonlinear terms which grow like a certain power of u. The main L-L estimate (Theorem 2.1) states that sol...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1998
ISSN: 0022-0396
DOI: 10.1006/jdeq.1997.3369