Structure of the fundamental solutions of some ultraparabolic equations of high order (Q1083614)
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scientific article; zbMATH DE number 3975462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of the fundamental solutions of some ultraparabolic equations of high order |
scientific article; zbMATH DE number 3975462 |
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Structure of the fundamental solutions of some ultraparabolic equations of high order (English)
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1985
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The author constructs the fundamental solution for the ultra parabolic operator \[ D_ t-\sum^{n}_{j=1}(x_ jD_{y_ j}+y_ jD_{z_ j})-\sum_{| k| \leq 2b}a_ kD^ k_ x \] with variable coefficients \(a_ k(t,x_ 1,...,x_ n,y_ 1,...,y_ n,z_ 1,...,z_ n)\).
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fundamental solution
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ultra parabolic operator
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variable coefficients
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