Second Order Nonlinear Evolution Inclusions Ⅱ： Structure of the Solution Set
查看参考文献23篇
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文摘
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We contimle the work initiated in [1] （Second order nonlinear evolution inclusions I： Existence and relaxation results. Acta Mathematics Science, English Series, 21（5）, 977-996 （2005）） and study the structural properties of the solution set of second order evolution inclusions which are defined in the analytic framework of the evolution triple. For the convex problem we show that the solution set is compact Rs, while for the nonconvex problem we show that it is path connected, Also we show that the solution set is closed only if the multivalued nonlinearity is convex valued. Finally we illustrate the results by considering a nonlinear hyperbolic problem with discontinuities. |
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来源
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Acta Mathematica Sinica. English Series
,2006,22(1):195-206 【核心库】
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DOI
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10.1007/s10114-004-0509-x
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关键词
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Evolution triple
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Compact embedding
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Second order evolution
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Compact Rs
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Pathconnected
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Connected
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Continuum
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Hyperbolic problem
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地址
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National Technical University, Department of Mathematics, Zografou Campus, Greece
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语种
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英文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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文献收藏号
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CSCD:2674153
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参考文献 共
23
共2页
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