Local Solvability of Nonsmooth Hörmander’s Operators

Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields

Inventiones mathematicae ◽

10.1007/bf01241132 ◽

1995 ◽

Vol 120 (1) ◽

pp. 339-360 ◽

Cited By ~ 5

Author(s):

Paulo D. Cordaro ◽

Fran�ois Treves

Keyword(s):

Vector Fields ◽

Sufficient Conditions ◽

Local Solvability ◽

Necessary And Sufficient Conditions ◽

Complex Vector ◽

Necessary And Sufficient

Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditions

Theoretical and Mathematical Physics ◽

10.1007/s11232-013-0109-y ◽

2013 ◽

Vol 177 (1) ◽

pp. 1361-1376 ◽

Cited By ~ 7

Author(s):

A. A. Panin

Keyword(s):

Boundary Conditions ◽

Burgers Equation ◽

Local Solvability ◽

Different Boundary Conditions

On the local solvability of vector fields with critical points

Journal of the Institute of Mathematics of Jussieu ◽

10.1017/s1474748011000053 ◽

2011 ◽

Vol 10 (3) ◽

pp. 785-808

Author(s):

François Treves

Keyword(s):

Critical Points ◽

Vector Fields ◽

Local Solvability ◽

Complex Vector ◽

Base Manifold ◽

Smooth Complex ◽

Empty Subset

AbstractThe article discusses the local solvability (or lack thereof) of various classes of smooth, complex vector fields that vanish on some non-empty subset of the base manifold.

A sufficient condition for the local solvability of a linear partial differential operator with double characteristics

Journal of Differential Equations ◽

10.1016/0022-0396(78)90047-5 ◽

1978 ◽

Vol 29 (3) ◽

pp. 374-387 ◽

Cited By ~ 3

Author(s):

Paul R Wenston

Keyword(s):

Differential Operator ◽

Partial Differential Operator ◽

Local Solvability ◽

Linear Partial Differential Operator ◽

Sufficient Condition ◽

Partial Differential

Local solvability in LP of first order semilinear equations

Revista Matemática Contemporânea ◽

10.21711/231766361996/rmc107 ◽

1996 ◽

Vol 10 (7) ◽

Author(s):

Jorge Hounie ◽

Paulo Santiago

Keyword(s):

Local Solvability ◽

Semilinear Equations ◽

First Order

Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type

Theoretical and Mathematical Physics ◽

10.1134/s0040577917110010 ◽

2017 ◽

Vol 193 (2) ◽

pp. 1561-1573 ◽

Cited By ~ 4

Author(s):

A. A. Panin ◽

G. I. Shlyapugin

Keyword(s):

Blow Up ◽

Local Solvability ◽

One Dimensional

Chapter 2. Local Solvability of an Inverse Problem

Inverse Logarithmic Potential Problem ◽

10.1515/9783110900125.41 ◽

2014 ◽

Keyword(s):

Inverse Problem ◽

Local Solvability

On local Solvability of the Problem of Fluid Motion in a Deformable Porous Medium in the Class of Continuous Functions

Izvestiya of Altai State University ◽

10.14258/izvasu(2017)4-25 ◽

2017 ◽

Vol 4 ◽

Author(s):

A.A. Papin ◽

◽

M.A. Tokareva

Keyword(s):

Porous Medium ◽

Fluid Motion ◽

Local Solvability ◽

Continuous Functions ◽

Deformable Porous Medium

Local solvability of constant coefficient partial differential equations as a small divisor problem

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1981-0603601-9 ◽

1981 ◽

Vol 82 (1) ◽

pp. 58-58 ◽

Cited By ~ 1

Author(s):

Jiri Dadok ◽

Michael Taylor

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Constant Coefficient ◽

Local Solvability ◽

Divisor Problem ◽

Small Divisor ◽

Partial Differential

On the Local Solvability of Fuchsian Type Partial Differential Equations

Algebraic Analysis ◽

10.1016/b978-0-12-400466-5.50027-5 ◽

1988 ◽

pp. 837-848

Author(s):

Hidetoshi Tahara

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Local Solvability ◽

Partial Differential