Abstract

We prove the existence of solutions for essentially all linear partial differential equations with C-coefficients in an algebra of generalized functions, defined in the paper. In particular, we show that H. Lewy’s equation has solutions whenever its right-hand side is a classical C-function.

Disciplines

Mathematics

Publisher statement

This article was first published in Transactions of the American Mathematical Society, published by the American Mathematical Society.

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Mathematics Commons

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URL: http://digitalcommons.calpoly.edu/math_fac/75