Local Solvability in L 2 of First Order Linear PDEs

American Journal of Mathematics ◽

10.2307/2373329 ◽

1970 ◽

Vol 92 (2) ◽

pp. 369 ◽

Cited By ~ 5

Author(s):

Francois Treves

Keyword(s):

Local Solvability ◽

Order Linear ◽

First Order ◽

Linear Pdes

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On the reduction of high order linear PDEs to first order

Linear Algebra and its Applications ◽

10.1016/j.laa.2017.05.005 ◽

2017 ◽

Vol 530 ◽

pp. 1-14

Author(s):

Vakhtang Lomadze

Keyword(s):

High Order ◽

Order Linear ◽

First Order ◽

Linear Pdes

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On the local solvability of certain overdetermined systems of first-order linear PDE

Journal d Analyse Mathématique ◽

10.1007/bf02790228 ◽

1992 ◽

Vol 59 (1) ◽

pp. 225-230

Author(s):

François Treves

Keyword(s):

Local Solvability ◽

Order Linear ◽

First Order ◽

Overdetermined Systems ◽

Linear Pde

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First-order linear PDEs and uniqueness in the Cauchy problem

Journal of Differential Equations ◽

10.1016/0022-0396(74)90094-1 ◽

1974 ◽

Vol 15 (1) ◽

pp. 195-209 ◽

Cited By ~ 20

Author(s):

Monty Strauss ◽

François Treves

Keyword(s):

Cauchy Problem ◽

Order Linear ◽

First Order ◽

The Cauchy Problem ◽

Linear Pdes

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First-order linear PDEs and uniqueness in the Cauchy problem

Journal of Differential Equations ◽

10.1016/0022-0396(79)90090-1 ◽

1979 ◽

Vol 33 (2) ◽

pp. 239-248 ◽

Cited By ~ 6

Author(s):

Fernando Cardoso ◽

Jorge Hounie

Keyword(s):

Cauchy Problem ◽

Order Linear ◽

First Order ◽

The Cauchy Problem ◽

Linear Pdes

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- Methods for First-Order Linear PDEs

Handbook of Linear Partial Differential Equations for Engineers and Scientists ◽

10.1201/b19056-19 ◽

2015 ◽

pp. 1158-1167

Keyword(s):

Order Linear ◽

First Order ◽

Linear Pdes

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Converting high order linear PDEs to first order

Systems & Control Letters ◽

10.1016/j.sysconle.2016.06.003 ◽

2016 ◽

Vol 94 ◽

pp. 107-110 ◽

Cited By ~ 3

Author(s):

Vakhtang Lomadze

Keyword(s):

High Order ◽

Order Linear ◽

First Order ◽

Linear Pdes

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Local Solvability of First Order Linear Operators with Lipschitz Coefficients in Two Variables

Journal of Differential Equations ◽

10.1006/jdeq.1995.1134 ◽

1995 ◽

Vol 121 (2) ◽

pp. 406-416 ◽

Cited By ~ 6

Author(s):

J. Hounie ◽

M. Eulalia ◽

M. Melo

Keyword(s):

Local Solvability ◽

Linear Operators ◽

Order Linear ◽

First Order

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Local Solvability inLpof First-Order Linear Operators

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0005 ◽

1996 ◽

Vol 197 (1) ◽

pp. 42-53 ◽

Cited By ~ 4

Author(s):

Jorge Hounie ◽

Eduardo Perdigão de Lemos

Keyword(s):

Local Solvability ◽

Linear Operators ◽

Order Linear ◽

First Order

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Converting high order linear PDEs to first order: Noncommutative case

Systems & Control Letters ◽

10.1016/j.sysconle.2017.08.008 ◽

2017 ◽

Vol 109 ◽

pp. 49-52

Author(s):

Vakhtang Lomadze

Keyword(s):

High Order ◽

Order Linear ◽

First Order ◽

Linear Pdes

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On the summability of divergent power series solutions for certain first-order linear PDEs

Opuscula Mathematica ◽

10.7494/opmath.2015.35.5.595 ◽

2015 ◽

Vol 35 (5) ◽

pp. 595 ◽

Cited By ~ 5

Author(s):

Masaki Hibino

Keyword(s):

Power Series ◽

Series Solutions ◽

Order Linear ◽

First Order ◽

Power Series Solutions ◽

Divergent Power Series ◽

Linear Pdes

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