Distributions and Nonlinear Partial Differential Equations

Elemer E. Rosinger (auth.)3540089519, 9783540089513, 0387089519

Table of contents :
Associative, commutative algebras containing the distributions….Pages 3-32
Dirac algebras containing the distributions….Pages 33-59
Solutions of nonlinear partial differential equations application to nonlinear shock waves….Pages 60-69
Quantum particle scattering in potentials positive powers of the dirac δ distribution….Pages 70-84
Products with dirac distributions….Pages 85-110
Linear independent families of dirac distributions….Pages 111-119
Support, local properties….Pages 120-131
Necessary structure of the distribution multiplications….Pages 132-138