| Abstract: |
| In this talk, we will show the pointwise estimates of solutions to initial value problems of large time behavior of nonlinear evolution equations in small perturbation cases by using the Green function method. Introducing the basic idea of Green function, this paper will exemplify under hyperbolic, parabolic and nonlinear mechanism, how Green function helps the solution to initial value problems of dissipative and hyperbolic structured nonlinear evolution equations sort out various mechanisms, find out fine structures, and figure out some amazing phenomenon with which other methods could not deliver a clear explanation. |
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