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Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrödinger equation with phase damping
Generalizations of logarithmic Sobolev inequalities
| 1. | Universität Rostock, Institut für Mathematik, Universitätsplatz 1, 18051 Rostock, Germany |
$\dot{u}=\Delta_p u^m.$
Our proof does not use Moser iteration, but shows that the time-dependent Lebesgue norm $\||u(t)|\|_{r(t)}$ stays bounded for a variable exponent $r(t)$ blowing up in arbitrary short time.
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