@Article{JPDE-23-374,
author = {Fritz Schwarz },
title = {Solving Inhomogeneous Linear Partial Differential Equations},
journal = {Journal of Partial Differential Equations},
year = {2010},
volume = {23},
number = {4},
pages = {374--388},
abstract = {<p>Lagrange&#39;s variation-of-constantsmethod for solving linear inhomogeneous ordinary differential equations (ode&#39;s) is replaced by amethod based on the Loewy decomposition of the corresponding homogeneous equation. It uses only properties of the equations and not of its solutions. As a consequence it has the advantage that it may be generalized for partial differential equations (pde&#39;s). It is applied to equations of second order in two independent variables, and to a certain system of third-order pde&#39;s. Therewith all possible linear inhomogeneous pde&#39;s are covered that may occur when third-order linear homogeneous pde&#39;s in two independent variables are solved.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v23.n4.5},
url = {http://global-sci.org/intro/article_detail/jpde/5240.html}
}