On a power series solution of a special type singular Cauchy problem (Q2708415)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a power series solution of a special type singular Cauchy problem |
scientific article |
Statements
17 April 2001
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absolutely and uniformly convergent power series
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On a power series solution of a special type singular Cauchy problem (English)
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The solution of the Cauchy problem to the generalized Euler-Poisson-Darboux equation \(\triangle u = u_{tt}+ (at^2+ \frac{b}{t}) u_t\), \(t>0\), \(x\in \mathbb{R}^n,\) with initial data \(u(x,0)=f(x),u_t(x,0)=0,\) where \(a>0, b>-1,\) is given in the form of absolutely and uniformly convergent power series.
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