The second initial-boundary value problem for a quasilinear parabolic equations with nonlinear boundary conditions |
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Authors: | Pan Jia-qing Professor |
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Institution: | (1) Department of Mathematics, Jimei University, 361021 Xiamen, P R China |
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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<To, the solution is infinitely continuously differentiable and is a classical solution; 3) the solution converges to zero uniformly
as t is large enough.
Biography: PAN Jia-qing (1957-) |
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Keywords: | fast_diffusion quasilinear nonlinear boundary conditions second initial_boundary value problem |
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