The Second Initial-Boundary Value Problem for a Quasilinear Prabolic Equations With Nonlinear Boundary Conditions

Pan Jia-qing

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Pan Jia-qing. The Second Initial-Boundary Value Problem for a Quasilinear Prabolic Equations With Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1201-1207.

Citation:

Pan Jia-qing. The Second Initial-Boundary Value Problem for a Quasilinear Prabolic Equations With Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1201-1207.

Citation:

Pan Jia-qing. The Second Initial-Boundary Value Problem for a Quasilinear Prabolic Equations With Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1201-1207.

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The Second Initial-Boundary Value Problem for a Quasilinear Prabolic Equations With Nonlinear Boundary Conditions

Pan Jia-qing

Department of Mathematics, Jimei University, Jimei, Xiamen 361021, P R China

Received Date: 1999-02-18
Rev Recd Date: 2000-05-28
Publish Date: 2000-11-15

Abstract

Abstract

With prior estimate method,the existence,uniqueness,stability and large time behavior of the solution of second initial-boundary value problem for a fast diffusion equation with nonlinear boundary conditions are investigated.The main results are:1) there exists only one global weak solution which continuously depends on initial value; 2) when t<T₀,the solution is infinitely continuously differentiable and is a classical solution; 3) the solution converges to zero uniformly as t is large enough.
- fast-diffusion,
- quasilinear,
- nonlinear boundary conditions,
- second initial-boundary value problem

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References(6)

References

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