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 ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.
Original language | English |
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Pages (from-to) | 91-110 |
Number of pages | 20 |
Journal | Chinese Annals of Mathematics. Series B |
Volume | 30 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 1 2009 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics