SOLUTIONS OF KORTEWEG-DEVRIES EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES

被引：117

作者：

BONA, J

SCOTT, R

机构：

[1] UNIV CHICAGO,DEPT MATH,CHICAGO,IL 60637

[2] UNIV ESSEX,FLUID MECH RES INST,COLCHESTER CO4 3SQ,ENGLAND

[3] BROOKHAVEN NATL LAB,DEPT APPL MATH,UPTON,NY 11973

来源：

DUKE MATHEMATICAL JOURNAL | 1976年 / 43卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-76-04309-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：87 / 99

页数：13

共 11 条

[1] MODEL EQUATIONS FOR LONG WAVES IN NONLINEAR DISPERSIVE SYSTEMS [J].

BENJAMIN, TB ;

BONA, JL ;

MAHONY, JJ .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 272 (1220) :47-+

[2]

BENJAMIN TB, TO BE PUBLISHED

[3] INITIAL-VALUE PROBLEM FOR KORTEWEG-DEVRIES EQUATION [J].

BONA, JL ;

SMITH, R .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 278 (1287) :555-601

[4]

Butzer P.L., 1967, SEMIGROUPS OPERATORS

[5]

KRUSKAL MD, 1970, J MATHEMATICAL PHYS, V11, P592

[6]

Lions J.-L., 1964, I HAUTES ETUDES SCI, P5, DOI 10.1007/BF02684796

[7]

Magenes E., 1964, 7 C UN MAT IT GEN 19, P134

[8] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .2. EXISTENCE OF CONSERVATION LAWS AND CONSTANTS OF MOTION [J].

Miura, RM ;

GARDNER, CS ;

KRUSKAL, MD .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (08) :1204-+

[9]

Peetre J., 1963, RIC MAT, V12, P248

[10]

SAUT JC, 1975, J MATH PURE APPL, V54, P27

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