Lie Groups of Partial Differential Equations and Their Application to the Multidimensional Screening Problems

SSRN Electronic Journal ◽

10.2139/ssrn.498783 ◽

2004 ◽

Cited By ~ 2

Author(s):

Suren Basov

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Partial Differential ◽

Multidimensional Screening

Download Full-text

Application of Lie groups and differentiable manifolds to general methods for simplifying systems of partial differential equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/24/13/011 ◽

1991 ◽

Vol 24 (13) ◽

pp. 2913-2941 ◽

Cited By ~ 1

Author(s):

J H Nixon

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Partial Differential ◽

Differentiable Manifolds

Download Full-text

Partial differential equations on semisimple Lie groups

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1976-0425016-7 ◽

1976 ◽

Vol 60 (1) ◽

pp. 289-289

Author(s):

Kenneth D. Johnson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Semisimple Lie Groups ◽

Partial Differential

Download Full-text

Smoothness and analyticity for solutions of first order systems of partial differential equations on nilpotent Lie groups

Inventiones mathematicae ◽

10.1007/bf01389051 ◽

1985 ◽

Vol 81 (2) ◽

pp. 205-216 ◽

Cited By ~ 1

Author(s):

Lawrence Corwin ◽

Bernard Helffer ◽

Linda Preiss Rothschild

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Nilpotent Lie Groups ◽

Partial Differential ◽

First Order

Download Full-text

Analyticity of solutions of partial differential equations on nilpotent lie groups

Lie Group Representations III - Lecture Notes in Mathematics ◽

10.1007/bfb0072346 ◽

1984 ◽

pp. 389-395 ◽

Cited By ~ 1

Author(s):

Linda Preiss Rothschild

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Nilpotent Lie Groups ◽

Partial Differential

Download Full-text

Lie groups, singularities and solutions of nonlinear partial differential equations

Direct and Inverse Methods in Nonlinear Evolution Equations - Lecture Notes in Physics ◽

10.1007/978-3-540-39808-0_5 ◽

2003 ◽

pp. 223-273

Author(s):

Pavel Winternitz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

Download Full-text

Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/bfb0016130 ◽

2005 ◽

pp. 114-118

Author(s):

A. M. Grundland ◽

J. Harnad ◽

P. Winternitz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Nonlinear Partial Differential Equations ◽

Symmetry Reduction ◽

Partial Differential

Download Full-text

Stationary Random Fields Arising From Second-Order Partial Differential Equations on Compact Lie Groups

IEEE Transactions on Information Theory ◽

10.1109/tit.2013.2243202 ◽

2013 ◽

Vol 59 (6) ◽

pp. 3497-3513

Author(s):

Salem Said ◽

Pierre-Olivier Amblard ◽

Jonathan H. Manton

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Random Fields ◽

Second Order ◽

Compact Lie Groups ◽

Partial Differential ◽

Stationary Random Fields

Download Full-text

LIE GROUPS OF SOLUTIONS TO SYSTEMS OF QUASILINEAR SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH MISSING DEPENDENT VARIABLES

Quaestiones Mathematicae ◽

10.1080/16073606.1985.9631908 ◽

1985 ◽

Vol 8 (2) ◽

pp. 143-166

Author(s):

Dominic G. B. Edelen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Second Order ◽

Partial Differential ◽

Dependent Variables

Download Full-text

Linearization Procedure of Nonlinear First Order System of Partial Differential Equations by Means of Canonical Variables Related to Lie Groups of Point Transformations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1445 ◽

1994 ◽

Vol 188 (2) ◽

pp. 552-568 ◽

Cited By ~ 18

Author(s):

A. Donato ◽

F. Oliveri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Order System ◽

Partial Differential ◽

First Order ◽

Canonical Variables ◽

Point Transformations

Download Full-text

Lie Groups and Solutions of Nonlinear Partial Differential Equations

Integrable Systems, Quantum Groups, and Quantum Field Theories ◽

10.1007/978-94-011-1980-1_11 ◽

1993 ◽

pp. 429-495 ◽

Cited By ~ 31

Author(s):

P. Winternitz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lie Groups ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

Download Full-text