Energy estimates of hyperbolic equations with dissipative lower terms (Q1103108)
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scientific article; zbMATH DE number 4052142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy estimates of hyperbolic equations with dissipative lower terms |
scientific article; zbMATH DE number 4052142 |
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Energy estimates of hyperbolic equations with dissipative lower terms (English)
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1987
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A dissipative energy expression for an equation \((p(D_ x,D_ t)+q(D_ x,D_ t))u=0\) is derived where p, q are N th and (N-1) th order homogeneous t-hyperbolic polynomials with \(p(0,1)>0\), \(q(0,1)>0\) and characteristic roots of q dividing those roots of p.
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dissipative energy
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hyperbolic polynomials
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