Title of article
A second-order Cauchy problem in a scale of Banach spaces and application to Kirchhoff equations
Author/Authors
Huy، Nguyen Bich نويسنده , , Sum، Nguyen An نويسنده , , Tuan، Nguyen Anh نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
-252
From page
253
To page
0
Abstract
In a scale of Banach spaces we study the Cauchy problem for the equation u"=A(Bu(t),u), where A is a bilinear operator and B is a completely continuous operator. Obtained results are applied to prove existence of solutions in the Gevrey class for Kirchhoff equations.
Keywords
tricomi-type equation , L^p-L^q estimates , fundamental solution
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2004
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
119256
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