Growth and Uniqueness Theorems for an Abstract Nonstandard Wave Equation

DOI10.1137/0507042zbMath0327.35002OpenAlexW1969494977MaRDI QIDQ4092306

Brian Straughan

Publication date: 1976

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0507042

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dynamical problems in solid mechanics (74H99) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Equilibrium (steady-state) problems in solid mechanics (74G99)

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Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics

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