SOLUTIONS TO THE KORTEWEG-DEVRIES EQUATION WITH INITIAL PROFILE IN L11(R)INTERSECTION LN1(R+)

被引：18

作者：

COHEN, A ^{[1
]}

KAPPELER, T ^{[1
]}

机构：

[1] SWISS FED INST TECHNOL, MATH FORSCHUNGSINST, CH-8092 ZURICH, SWITZERLAND

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1987年 / 18卷 / 04期

关键词：

D O I：

10.1137/0518076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：991 / 1025

页数：35

共 20 条

[1]

Agranovich Z., 1963, INVERSE PROBLEM SCAT

[2]

[Anonymous], 1974, OSAKA J MATH

[3] SOLUTIONS OF KORTEWEG-DEVRIES EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES [J].

BONA, J ;

SCOTT, R .

DUKE MATHEMATICAL JOURNAL, 1976, 43 (01) :87-99

[4]

COHEN A, 1979, ARCH RATION MECH AN, V71, P143, DOI 10.1007/BF00248725

[5] DECAY AND REGULARITY IN THE INVERSE SCATTERING PROBLEM [J].

COHEN, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 87 (02) :395-426

[6] INVERSE SCATTERING ON THE LINE [J].

DEIFT, P ;

TRUBOWITZ, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (02) :121-251

[7]

FADDEEV LD, 1967, AM MATH SOC TRANSL, V65, P129

[8] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[9] PROPERTIES OF THE SCATTERING MAP [J].

KAPPELER, T ;

TRUBOWITZ, E .

COMMENTARII MATHEMATICI HELVETICI, 1986, 61 (03) :442-480

[10]

KAPPELER T, 1986, COMMUN PART DIFF EQ, V11, P927

← 1 2 →