Rosinger E.E. Nonlinear partial differential equations: Sequential and weak solutions

North Holland, 1980. — 339 p.Sequential Solutions of Nonlinear PDEs
Necessary and/or Sufficient Conditions for the Existence of Sequential Solutions
Algebras Containing the Distribution
Resolution of Singularities of Weak Solutions for Polynomial Nonlinear PDEs
Stability and Exactness of Sequential and Weak Solutions for Polynomial Nonlinear PDEs
Characterization of the Necessary Structure of the Algebras Containing the Distributions
Quantum Scattering in Potentials Positive Powers of the Dirac δ Distribution
Products with Dirac δ Distribution
Linear Independent Families of Dirac δ Distributions at a Point
Support and Local Properties
Appendix 1: Neutrix Calculus and Negligible Sequences of Functions
Appendix 2: The Embedding Impossibility Result of L.Schwartz
Appendix 3: A Nonlinear Extension of the Lax-Richtmyer Equivalence between Stability and Convergence of Difference Schemes
Appendix 4: The Cauchy-Bolzano Quotient Algebra Construction of the Real Numbers