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

Günther Hörmann

doi:10.1007/s00605-010-0232-x

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

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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

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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

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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

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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

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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

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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

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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

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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

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Extension of zero-solutions of partial differential operators with dominating principal part.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1997.484.183 ◽

1997 ◽

Vol 1997 (484) ◽

pp. 183-200

Keyword(s):

Principal Part ◽

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators

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Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-05-03759-1 ◽

2005 ◽

Vol 358 (8) ◽

pp. 3363-3383 ◽

Cited By ~ 27

Author(s):

Günther Hörmann ◽

Michael Oberguggenberger ◽

Stevan Pilipović

Keyword(s):

Differential Operators ◽

Generalized Functions ◽

Partial Differential ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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