Rosinger E.E. Distributions and Nonlinear Partial Differential Equations

Springer-Verlag, 1978. — 154 p. — (Lecture Notes in Mathematics)
ISBN: 3540089519The nonlinear method in the theory of distributions presented in this work is based on embeddings of the distributions in D' 0{ n) into associative and commutative algebras whose elements are classes of sequences of smooth functions on R n. The embeddings define various distribution multiplications. Positive powers can also be defined for car rain distributions, as for instance the Dirac 6 function.