Volume 1, Issue 2 (November 2006)
IJMSI 2006, 1(2): 9-30 |
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ASSA H, HESAARAKI M, MOAMENI A. BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM. IJMSI 2006; 1 (2) :9-30
URL: http://ijmsi.ir/article-1-35-en.html
URL: http://ijmsi.ir/article-1-35-en.html
Abstract:
In this paper we consider a kind of higher-order evolution equation as^{kt^{k} + ^{k&minus1}u/t^{k&minus1} +• • •+ut &minus{delta}u= f (u, {delta}u,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 eneralized 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.
Keywords: Higher-order evolution equations, blow-up, nonglobal solution, instanta instantaneous blow-up.
Type of Study: Research paper |
Subject:
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