Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs

Abstract

Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.

49 pages, 12 Figures

References in corpus (2)

• Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves
• Nonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders