Nonlinear second order parabolic and hyperbolic equations: Blow up and asymptotic behavior of solutions
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Abstract (EN)
In this thesis blow up in a finite time and asymptotic behavior of solutions of initial boundary value problems for second order nonlinear parabolic and hyperbolic equations are studied. Sufficient conditions for blow up of solutions of initial boundary value problems for nonlinear non-autonomous parabolic and damped hyperbolic equations under Robin boundary conditions, and solutions with arbitrary positive initial energy of initial boundary value problems, under the Robin and Dirichlet boundary conditions, for nonlinear parabolic and damped wave equations are obtained. Besides, sufficient condition for decay of solutions of initial boundary value problems for non-autonomous parabolic and damped wave equations with time dependent coefficients are investigated.
Author
Jamıla Kalantarova
How to Cite
Jamıla Kalantarova (Doctorate thesis). Nonlinear second order parabolic and hyperbolic equations: Blow up and asymptotic behavior of solutions, 2015, Yeditepe University.
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