An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay

DOI10.1002/mana.201000007zbMath1235.35040OpenAlexW1984065348MaRDI QIDQ3118980

Barbara Kaltenbacher, Irena Lasiecka

Publication date: 6 March 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000007

zbMATH Keywords

decay ratesquasilinear equationsanalytic semigroupsglobal well-posednessexponential decayBanach's fixed point theoremdissipative mechanisminhomogeneous Dirichlet boundary conditionsKuznetsov's equationnonlinear acoustic wave propagationbarrier's methodhigh intensity ultrasound therapy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hydro- and aero-acoustics (76Q05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order quasilinear hyperbolic equations (35L77)

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