Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1385
8
1
gregorian
2006
11
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online
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fulltext
en
BLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM
عمومى
General
پژوهشي
Research paper
<p>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.</p>
Higher-order evolution equations, blow-up, nonglobal solution, instanta instantaneous blow-up.
9
30
http://ijmsi.ir/browse.php?a_code=A-10-1-33&slc_lang=en&sid=1
H.
ASSA
10031947532846002028
10031947532846002028
Yes
M.
HESAARAKI
10031947532846002029
10031947532846002029
No
A.
MOAMENI
10031947532846002030
10031947532846002030
No