Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics

Shizuo Nakane

doi:10.3792/pjaa.59.41

Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.59.41 ◽

1983 ◽

Vol 59 (2) ◽

pp. 41-43 ◽

Cited By ~ 1

Author(s):

Shizuo Nakane

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem ◽

Multiple Characteristics

Download Full-text

Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics, II

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.59.361 ◽

1983 ◽

Vol 59 (8) ◽

pp. 361-363

Author(s):

Shizuo Nakane

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem ◽

Multiple Characteristics

Download Full-text

Nonuniqueness in the Cauchy problem for partial differential operators with multiple characteristics. II

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195178925 ◽

1985 ◽

Vol 21 (4) ◽

pp. 699-717

Author(s):

Shizuo Nakane

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem ◽

Multiple Characteristics

Download Full-text

The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data

Monatshefte für Mathematik ◽

10.1007/s00605-010-0232-x ◽

2010 ◽

Vol 163 (4) ◽

pp. 445-460 ◽

Cited By ~ 5

Author(s):

Günther Hörmann

Keyword(s):

Cauchy Problem ◽

Principal Part ◽

Differential Operators ◽

Generalized Functions ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem

Download Full-text

A necessary condition for $H^\infty$-wellposedness of the Cauchy problem for linear partial differential operators of Schrödinger type, (Schrödinger equations and generalizations, IV)

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521066 ◽

1985 ◽

Vol 25 (3) ◽

pp. 459-472

Author(s):

Jiro Takeuchi

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Necessary Condition ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem ◽

Linear Partial Differential Operators

Download Full-text

Uniqueness in the Cauchy problem for a class of partial differential operators degenerate on the initial surface

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521273 ◽

1984 ◽

Vol 24 (3) ◽

pp. 423-439 ◽

Cited By ~ 1

Author(s):

Takashi Ōkaji

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Initial Surface ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem

Download Full-text

Non—uniqueness in the cauchy problem for partial differential operators with chatacteristics I

Communications in Partial Differential Equations ◽

10.1080/03605308408820326 ◽

1984 ◽

Vol 9 (1) ◽

pp. 63-106 ◽

Cited By ~ 2

Author(s):

Shizuo Nakane

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem

Download Full-text

On the uniqueness of solutions of the Cauchy problem for hypoelliptic partial differential operators

Proceedings of the Japan Academy ◽

10.3792/pja/1195523030 ◽

1963 ◽

Vol 39 (6) ◽

pp. 342-347 ◽

Cited By ~ 1

Author(s):

Hitoshi Kumano-Go

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Uniqueness Of Solutions ◽

Partial Differential ◽

Partial Differential Operators ◽

The Cauchy Problem

Download Full-text

The mixed Cauchy problem for holomorphic partial differential operators

Journal d Analyse Mathématique ◽

10.1007/bf02788774 ◽

1995 ◽

Vol 65 (1) ◽

pp. 237-295 ◽

Cited By ~ 8

Author(s):

Peter Ebenfelt ◽

Harold S. Shapiro

Keyword(s):

Cauchy Problem ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators

Download Full-text

The uniqueness of the Cauchy problem for partial differential equations which may have multiple characteristics

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1969-0252832-8 ◽

1969 ◽

Vol 146 ◽

pp. 493-493 ◽

Cited By ~ 4

Author(s):

Peter M. Goorjian

Keyword(s):

Cauchy Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

The Cauchy Problem ◽

Multiple Characteristics

Download Full-text

On local solvability in gevrey classes of linear partial differential operators with multiple characteristics

Communications in Partial Differential Equations ◽

10.1080/03605308908820589 ◽

1989 ◽

Vol 14 (1) ◽

pp. 1-25 ◽

Cited By ~ 11

Author(s):

Andrea Corli

Keyword(s):

Differential Operators ◽

Local Solvability ◽

Partial Differential ◽

Gevrey Classes ◽

Partial Differential Operators ◽

Multiple Characteristics ◽

Linear Partial Differential Operators

Download Full-text