Some degenerate pseudodifferential equations in Hölder spaces (Q2723287)
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scientific article; zbMATH DE number 1614391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some degenerate pseudodifferential equations in Hölder spaces |
scientific article; zbMATH DE number 1614391 |
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5 July 2001
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unique solvability
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pseudodifferential operator involving weighted derivatives and weighted Fourier transforms
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Some degenerate pseudodifferential equations in Hölder spaces (English)
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The author proves the unique solvability of the equation NEWLINE\[NEWLINE-{\partial u\over\partial t} u(x,t)+ Bu(x, t)-\lambda u(x,t)= f(x,t)\quad (x\in \mathbb{R}^{n-1}, 0< t< \infty),NEWLINE\]NEWLINE where \(B\) is some pseudodifferential operator involving weighted derivatives and weighted Fourier transforms, in a suitable Hölder space.
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0.8021562099456787
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0.7857650518417358
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0.7802588939666748
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