عنوان
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Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Semilinear equations; Totally characteristic degeneracy; Global solution; Blow-up
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چکیده
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In this article, we use the cone Sobolev inequality and the Poincaré inequality to prove the existence theorem for a class of semilinear degenerate hypoelliptic equation on manifolds with conical singularities .In this paper we shall find the existence theorem for the problem (1.1) in cone Sobolev space .Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions
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پژوهشگران
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مرتضی کوزه گر کالجی (نفر دوم)، محسن علیمحمدی (نفر اول)
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