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Dattoli, G.; Richetta, M.; Schettini, G.; Torre, A.

Lie algebraic methods and solutions of linear partial differential equations. (English) Zbl 0729.35028

J. Math. Phys. 31, No. 12, 2856-2863 (1990).
Summary: An algebraic method to obtain the solution of linear partial differential equations of evolution type is discussed. The proposed method exploits the Lie differential operators and their matrix realization, to reduce the equation to an easily solvable generalized matrix form. Some applications to problems of specific interest are also discussed.

Cited in 8 Documents

MSC:

35G05 Linear higher-order PDEs
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
17B99 Lie algebras and Lie superalgebras
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References:

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