Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity


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.


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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


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