Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity
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Authors
Şevket Gür
- Department of Mathematics, Sakarya University, Sakarya, Turkey.
Metin Yaman
- Department of Mathematics, Sakarya University, Sakarya, Turkey.
Yalçın Yılmaz
- Department of Mathematics, Sakarya University, Sakarya, Turkey.
Abstract
We consider an inverse problem for quasilinear parabolic equations with type power nonlinearity.
Sufficient conditions on initial data for blow up result are obtained with positive initial energy. Overdetermination
condition is given as an integral form. To get the blow up result for considered nonlinear
inverse parabolic equation, we use the concavity of a special positive function. The life span of the solution
is also computed.
Share and Cite
ISRP Style
Şevket Gür, Metin Yaman, Yalçın Yılmaz, Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1902--1910
AMA Style
Gür Şevket, Yaman Metin, Yılmaz Yalçın, Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity. J. Nonlinear Sci. Appl. (2016); 9(4):1902--1910
Chicago/Turabian Style
Gür, Şevket, Yaman, Metin, Yılmaz, Yalçın. "Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1902--1910
Keywords
- Blow-up
- inverse problem
- quasilinear parabolic equation.
MSC
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