An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195170733 ◽

1990 ◽

Vol 26 (5) ◽

pp. 735-783

Author(s):

Sunao Ōuchi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integral Representation ◽

Singular Solutions ◽

Partial Differential ◽

Removable Singularities ◽

Linear Partial Differential Equations

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Removable singularities of solutions of linear partial differential equations

Acta Mathematica ◽

10.1007/bf02838327 ◽

1970 ◽

Vol 125 (0) ◽

pp. 39-56 ◽

Author(s):

Reese Harvey ◽

John Polking

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Removable Singularities ◽

Linear Partial Differential Equations

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Growth property and slowly increasing behaviour of singular solutions of linear partial differential equations in the complex domain

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/05240767 ◽

2000 ◽

Vol 52 (4) ◽

pp. 767-792 ◽

Author(s):

Sunao ŌUCHI

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Complex Domain ◽

Singular Solutions ◽

Partial Differential ◽

Growth Property ◽

Linear Partial Differential Equations

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Singular solutions with asymptotic expansion of linear partial differential equations in the complex domain

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195144627 ◽

1998 ◽

Vol 34 (4) ◽

pp. 291-311 ◽

Author(s):

Sunao Ōuchi

Keyword(s):

Asymptotic Expansion ◽

Partial Differential Equations ◽

Differential Equations ◽

Complex Domain ◽

Singular Solutions ◽

Partial Differential ◽

Linear Partial Differential Equations

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Removable singularities of weak solutions to linear partial differential equations

Mathematical Notes ◽

10.1007/s11006-005-0053-8 ◽

2005 ◽

Vol 77 (3-4) ◽

pp. 539-545

Author(s):

A. V. Pokrovskii

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Weak Solutions ◽

Partial Differential ◽

Removable Singularities ◽

Linear Partial Differential Equations

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Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients

Duke Mathematical Journal ◽

10.1215/s0012-7094-79-04618-0 ◽

1979 ◽

Vol 46 (2) ◽

pp. 409-440 ◽

Author(s):

M. S. Baouendi ◽

F. Treves ◽

E. C. Zachmanoglou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Singular Solutions ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Homogeneous Linear

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Integral representation of solutions of some special three-dimensional linear partial differential equations of mixed type

Complex Variables Theory and Application An International Journal ◽

10.1080/17476939608814853 ◽

1996 ◽

Vol 28 (3) ◽

pp. 219-226

Author(s):

H.-J. Fischer

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integral Representation ◽

Three Dimensional ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Equations Of Mixed Type ◽

Representation Of Solutions

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The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.65.102 ◽

1989 ◽

Vol 65 (4) ◽

pp. 102-105 ◽

Author(s):

Sunao Ōuchi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Complex Domain ◽

Singular Solutions ◽

Characteristic Surface ◽

Partial Differential ◽

Linear Partial Differential Equations

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Integral representation of solutions of linear partial differential equations. II

Journées Équations aux dérivées partielles ◽

10.5802/jedp.135 ◽

1975 ◽

pp. 341-357

Author(s):

François Trèves

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integral Representation ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Representation Of Solutions

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Removable singularities of holomorphic solutions of linear partial differential equations

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/1191418697 ◽

2004 ◽

Vol 56 (1) ◽

pp. 87-113 ◽

Author(s):

Katsuju IGARI

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Removable Singularities ◽

Linear Partial Differential Equations

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Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195142869 ◽

2000 ◽

Vol 36 (4) ◽

pp. 457-482 ◽

Author(s):

Sunao Ōuchi

Keyword(s):

Asymptotic Expansion ◽

Partial Differential Equations ◽

Differential Equations ◽

Complex Domain ◽

Singular Solutions ◽

Partial Differential ◽

Linear Partial Differential Equations

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