A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 419-430

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DOI

We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on the displacement. We prove the existence of a regular connected global attractor of finite fractal dimension for the associated dynamical system, as well as the existence of an exponential attractor.
DOI : 10.1017/S0017089506003156
Mots-clés : 35B41, 35L05, 37L25, 37L45
GATTI, STEFANIA; PATA, VITTORINO. A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 419-430. doi: 10.1017/S0017089506003156
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     title = {A {ONE-DIMENSIONAL} {WAVE} {EQUATION} {WITH} {NONLINEAR} {DAMPING}},
     journal = {Glasgow mathematical journal},
     pages = {419--430},
     year = {2006},
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     doi = {10.1017/S0017089506003156},
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