ANALYTIC FUNCTIONS IN OPERATOR VARIABLES AS SOLUTION TO PDES

Krasnov, Yakov

Procedures of a construction of general solutions for some classes of partial differential equations (PDEs) are proposed and a symmetry operators approach to the raising the orders of the polynomial solutions to linear PDEs are develops. We touch upon an ''operator analytic function theory'' as the solution of a frequent classes of the equations of mathematical physics, when its symmetry operators forms vast enough space. The MAPLE© package programs for the building the operator variables is elaborated also.

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Krasnov, Yakov: ANALYTIC FUNCTIONS IN OPERATOR VARIABLES AS SOLUTION TO PDES. 2006.

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