Title of article :
Gain of regularity for the KP-I equation
Author/Authors :
Julie Levandosky، نويسنده , , Mauricio Sep?lveda، نويسنده , , Octavio Vera Villagr?n، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
47
From page :
762
To page :
808
Abstract :
In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equationʹs dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data possesses certain regularity and sufficient decay as x→∞, then the solution u(t) will be smoother than for 0
Keywords :
KP-I equation , Gain in regularity , Weighted Sobolev space
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year :
2008
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number :
751447
Link To Document :
