Generalized solutions of nonlinear differential equations A nonstandard jets approach

Abstract

Using the rudiments of pde jets theory in a nonstandard setting, we first deepen and extend previous nonstandard existence results for generalized solutions of linear differential equations and second extend the previous results for linear differential equations to a much broader class of nonlinear differential equations.

References in corpus (2)

• Regularity and nearness theorems for families of local Lie groups
• Recent Progress in Special Colombeau Algebras: Geometry, Topology, and Algebra