Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-order PDEs
Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-order PDEs
Asymptotic large-and short-time behaviour of solutions of the linear dispersion equationand its (2k + 1)th-order extensions are studied.Such a refined scattering is based on a "Hermitian" spectral theory for a pair {B, B * } of non self-adjoint rescaled operators, and the adjoint oney Ai(y), l ≥ 0}, where Ai(y) …