BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM

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ASSA H.; HESARAKI M.; MOUMENI A.

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ISSN: 2588-4824

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Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2006 | Volume:1 | Issue:2 Page(s): 9-30

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Title

BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM

Author(s)

ASSA H. | HESARAKI M. | MOUMENI A. | Issue Writer Certificate

Keywords

HIGHER-ORDER EVOLUTION EQUATIONS

BLOW-UP

NONGLOBAL SOLUTION

INSTANTANEOUS BLOW-UP

Abstract

In this paper we consider a kind of higher-order evolution equation as ¶ku/¶tk+¶k-1u/¶1k-1 + ...+ U1-Du=f(u, Du,x). For this equation, we investigate NONGLOBAL SOLUTION, BLOW-UP in finite time and instantaneous BLOW-UP under some assumption on k, f and initial data. In this paper we employ the Test function method, the generalized convexity method and Galerkin's method for some of our proofs. Moreover, occasionally by changing P.D.E problems to some ordinary differential inequalities, we investigate this kind of HIGHER-ORDER EVOLUTION EQUATIONS.

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APA: Copy

ASSA, H., HESARAKI, M., & MOUMENI, A.. (2006). BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 1(2), 9-30. SID. https://sid.ir/paper/310247/en

Vancouver: Copy

ASSA H., HESARAKI M., MOUMENI A.. BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2006;1(2):9-30. Available from: https://sid.ir/paper/310247/en

IEEE: Copy

H. ASSA, M. HESARAKI, and A. MOUMENI, “BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 1, no. 2, pp. 9–30, 2006, [Online]. Available: https://sid.ir/paper/310247/en

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