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HORMANDER‘S INEQUALITY FOR ANISOTROFIC PSEUDO—DIFFERENTIAL OPERATORS
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作者 FabioNicola 《Journal of Partial Differential Equations》 2002年第4期49-64,共16页
We prove a generalization of Hormander's celebrated inequality for a class of pseudo-differential operators on foliated manifolds.
关键词 伪微分算子 下界 不等式 叶状流形 各向异性
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NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES
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作者 M.CICOGNANI L.ZANGHIRATI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第4期417-426,共10页
The authors prove well posedness in Gevrey classes of Cauchy problem for nonlinear hyper- bolic equations of constant multiplicity with Holder dependence on the time variable.
关键词 Gevrey classes Cauchy problem Nonlinear hyperbolic equations
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SPECTRAL GAP SOLUTIONS OF THE DISSIPATIVE KIRCHHOFF EQUATION
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作者 S.PANIZZI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第1期73-86,共14页
The author proves that for initial data in a set S ? (H2(?) ∩ H0(?)) × H0(?), 1 1 unbounded in H0(?) × L2(?), the solut... The author proves that for initial data in a set S ? (H2(?) ∩ H0(?)) × H0(?), 1 1 unbounded in H0(?) × L2(?), the solutions of the Cauchy-Dirichlet problem for the 1 dissipative Kirchho? equation Z ?t u ? ν + L 2 | x u|2dx xu + δ?tu = 0 (x ∈ ?, t > 0), ? are global in [0,+∞) and decay exponentially. The functions in S do not satisfy any additional regularity assumption, instead they must satisfy a condition relating their energy with the largest lacuna in their Fourier expansion. The larger is the lacuna the larger is the energy allowed. 展开更多
关键词 Spectral gap solutions Dissipative Kirchhoff equation Lacunae
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