Author(s): Elemer E. Rosinger (Eds.)
Series: North-Holland Mathematics Studies 44
Publisher: North Holland
Year: 1980
Language: English
Pages: iii-xviii, 1-317
Content:
Edited by
Page iii
Copyright page
Page iv
Dedicated
Page v
Foreword
Pages vi-vii
Preliminaries
Pages viii-xii
Notation
Page xix
Note to the Reader
Page xviii
Chapter 1 Sequential Solutions of Nonlinear PDEs
Pages 1-36
Chapter 2 Necessary and/or Sufficient Conditions for the Existence of Sequential Solutions
Pages 37-63
Chapter 3 Algebras Containing the Distributions
Pages 65-119
Chapter 4 Resolution of Singularities of weak Solutions for Polynomial Nonlinear PDEs
Pages 121-162
Chapter 5 Stability and Exactness of Sequential and Weak Solutions for Polynomial Nonlinear PDEs
Pages 163-172
Chapter 6 Characterization of the Necessary Structure of the Algebras Containing the Distributions
Pages 173-198
Chapter 7 Quantum Scattering in Potentials Positive Powers of the Dirac & Distribution
Pages 199-222
Chapter 8 Products with Dirac & Distributions
Pages 223-250
Chapter 9 Linear Independent Families of Dirac & Distributions at a Point
Pages 251-264
Chapter 10 Support and Local Properties
Pages 265-283
Appedix 1 Neutrix Calculus and Negligible Sequences of Functions
Pages 285-288
Appendix 2 The Embedding Impossibility Result of L. Schwartz
Pages 289-292
Appendix 3 A Nonlinear Extension of the Lax-Richtmyer Equivalence between Stability and Convergence of Difference Schemes
Pages 293-300
Appendix 4 The Cauchy-Bolzano Quotient Algebra Construction of the Real Numbers
Pages 301-304
References
Pages 305-317
