Time-periodic solutions to quasilinear telegraph equations with large data

✍ Scribed by Eduard Feireisl

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 764 KB
• Volume: 112
• Category: Article
• ISSN: 0003-9527
• DOI: 10.1007/bf00431722

✦ Synopsis

The theory of compensated compactness, recently developed by MURAT and TARTAR, has made it possible to attack new kinds of nonlinear problems. Their work, expounded in [26], has been repeatedly refined by DIPERNA [8,9], SERRE [23], RASCLE [22], among many others.

However, these methods do not seem to have been used to their full advantage in the study of boundary-value problems related to the second-order hyperbolic equations. To fill this gap, the present paper treats the equation U. -t-dUt --a(U~)x ~-aU =fix, t, U~, Ut, U)