عنوان
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Chapter 3 - Invariance Solutions and Blow-Up Property for Edge Degenerate Pseudo-Hyperbolic Equations in Edge Sobolev Spaces
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نوع پژوهش
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کتاب
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کلیدواژهها
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Blow-Up, Pseudo-Hyperbolic Equations, Sobolev Spaces
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چکیده
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This article is dedicated to study of the initial-boundary value problem of edge pseudo-hyperbolic system with damping term on the manifold with edge singularity. First, we will discuss about the invariance of solution set of a class of edge degenerate pseudo-hyperbolic equations on the edge Sobolev spaces. Then, by using a family of modified potential wells and concavity methods, it is obtained existence and nonexistence results of global solutions with exponential decay and is shown the blow-up in finite time of solutions on themanifold with edge singularities
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پژوهشگران
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کارلو کاتانی (نفر اول)، مرتضی کوزه گر کالجی (نفر دوم)
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