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On Control Of Sobolev Norms For Some Semilinear Wave Equations With Localized Data
Control Sobolev Norms Some Semilinear Wave Equations Localized Data
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2012/4/16
We establish new bounds of the Sobolev norms of solutions of semilinear wave equations for data lying in the Hs, s<1, closure of compactly supported data inside a ball of radius R, with R a fixed and ...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
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2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear wave equations
Multiplicity regularity of large periodic solutions rational frequency semilinear wave equations
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2010/12/6
grande, pour une classe d’´equations semilin´eaires avec des conditions p´eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m´etho...