THE CAUCHY-PROBLEM AND SELF-SIMILAR SOLUTIONS FOR A NONLINEAR PARABOLIC EQUATION

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作者
BILER, P
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
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页码:181 / 205
页数:25
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