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| Almost Global Strong Solutions to Quasilinear Dissipative Evolution Equations |
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Citation： |
Albert MILANI.Almost Global Strong Solutions to Quasilinear Dissipative Evolution Equations[J].Chinese Annals of Mathematics B,2009,(1):91~110 |
| Page view： 2575
Net amount： 2322 |
Authors： |
Albert MILANI; |
Foundation： |
the Fulbright Foundation (Chile, 2006). |
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| Abstract： |
The author proves a global existence result for strong solutions to the quasilinear
dissipative hyperbolic equation (1.1) below, corresponding to initial values and source
terms of arbitrary size, provided that the hyperbolicity parameter " is sufficiently small.
This implies a corresponding global existence result for the reduced quasilinear parabolic
equation (1.4) below. |
Keywords： |
Quasilinear evolution equation, A priori estimates, Global existence,
Small parameter |
Classification： |
35K15, 35K55, 35L15, 35L70 |
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