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Your search keyword '"Juntang Ding"' showing total 2 results
Start Over Author "Juntang Ding" Topic parabolic differential equations
2 results on '"Juntang Ding"'

1. Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions.

Author

Juntang Ding

Subjects
*QUASILINEARIZATION, *NUMERICAL solutions to nonlinear differential equations, *PARABOLIC differential equations, *REACTION-diffusion equations, *PARABOLIC operators
Abstract

We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an upper bound for the "blow-up time," an upper estimate of the "blow-up rate," the sufficient conditions for the existence of global solution, and an upper estimate of the global solution are specified. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions.

Author

Xuyan Gao, Juntang Ding, and Bao-Zhu Guo

Subjects
*QUASILINEARIZATION, *PARABOLIC differential equations, *NEUMANN problem, *BOUNDARY value problems, *HOPF algebras
Abstract

Using the upper and lower solution techniques and Hopf's maximum principle, the sufficient conditions for the existence of blow-up positive solution and global positive solution are obtained for a class of quasilinear parabolic equations subject to Neumann boundary conditions. An upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified. [ABSTRACT FROM AUTHOR]

Published
2009
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