The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. I. Problems in One Space Dimension
Author:
- John B. BellJBJohn B. Bell
- 1 September 1981
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 12 (5) , 759-777
Abstract
The noncharacteristic Cauchy problem is considered for a general class of operators in one space dimension which are second order in space and first order in time. A weighted energy technique is used to prove uniqueness and logarithmic continuous dependence on the data. The technique is also applied to two problems of higher order. The results are then extended to systems of equations which are coupled in lower order derivative terms.Keywords
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