Geodesic
Solutions to some nonlinear PDE's in the form of Laplace type integrals
Maria E. Pli/s1
1Pedagogical University Podchor/a/zych 2 30-084 Krak/ow, Poland
Annales Polonici Mathematici, Tome 79 (2002) no. 1, pp. 45-62
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A nonlinear equation $P(D)u=\alpha u^{m}$ in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of ${\rm Char}\hskip1pt P$, one gets the Gevrey class of such solutions. In some cases convergence “at infinity” is proved.
DOI : 10.4064/ap79-1-4
Keywords: nonlinear equation alpha variables considered formal solution series laplace integrals constructed shown assuming properties char hskip gets gevrey class solutions cases convergence infinity proved

Maria E. Pli/s  1

1 Pedagogical University Podchor/a/zych 2 30-084 Krak/ow, Poland 
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Maria E. Pli/s. Solutions to some nonlinear PDE's in the form of
Laplace type integrals. Annales Polonici Mathematici, Tome 79 (2002) no. 1, pp. 45-62. doi: 10.4064/ap79-1-4

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