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.

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

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