Detection of Hermitian connections in wave equations with cubic non-linearity

Wave equations with non-dissipative damping

Hermitian solutions to the system of operator equations T_iX=U_i.

In this article we consider the system of operator equations T_iX=U_i for i=1,2,...,n and give necessary and suffcient conditions for the existence of common Hermitian solutions to this system of operator equations for arbitrary operators without the closedness condition. Also we study the Moore-penrose inverse of a ncross 1 block operator matrix and. then gi...

An Application of Kubota-yokoyama Estimates to Quasilinear Wave Equations with Cubic Terms in Exterior Domains

Small global solutions for quasilinear wave equations are considered in three space dimensions in exterior domains. The obstacles are compact with smooth boundary and the local energy near the obstacles is assumed to decay exponentially with a possible loss of regularity. The null condition is needed to show global solutions for quadratic nonlinearities.

Onset of basilar membrane non-linearity reflected in cubic distortion tone input-output functions.

The basilar membrane (BM) input output (I/O) function is a non-linear compressive function over much of its operating range. A low level non-compressive region with a break-point or compression threshold between 20 and 40 dB SPL has been identified. To date, no similar compression threshold in cubic distortion tone otoacoustic emission (CDT) data, which would illustrate the dependence of the CD...

Cubic-quartic functional equations in fuzzy normed spaces

In this paper, we investigate the generalizedHyers--Ulam stability of the functional equation