Linear Partial Differential Equations with Constant Coefficients: an Elementary Proof of an Existence Theorem
Parsons, D. H.; Parsons D. H.; The University
Журнал:
Mathematical Notes
Дата:
1959
Аннотация:
We consider a linear partial differential equation with constant coefficients in one dependent and m independent variables, the right-hand side being zero,P being a symbolic polynomial in D<sub>1</sub>, …, D<sub>m</sub>. If P can be decomposed into two factors, so that the equation can be writtenit is evident that the sum of any solution ofand any solution ofis also a solution of (1).
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