We prove a global uniqueness result for the Calderón inverse problem general quasilinear isotropic conductivity equation on bounded open set with smooth boundary in dimension n≥3. Performing higher order linearizations of nonlinear Dirichlet–to–Neumann map, we reduce recovery differentials conductivity, which are symmetric tensors, to completeness property certain anisotropic products solutions...

(i) a(c-)^(c) + «(c)x(c-) = HO + Kc-) where a(C), b(Q are given real polynomials of indeterminate C or £""-, x(C) is an unknown polynomial. The equation plays the same role in the discrete control theory [1] as the corresponding equation [2] does in the continuous one, see Part I. A related equation (2) a(0x(c-) + Kr 1 )X0 = <0 + ^(c-) with two unknown polynomials is also studied. Unlike the co...

&nbsp;In this paper we consider a general setting of skew-symmetric distribution which was constructed by Azzalini (1985), and its properties are presented. A suitable empirical estimator for a skew-symmetric distribution is proposed. In data analysis, by comparing this empirical model with the estimated skew-normal distribution, we show that the proposed empirical model has a better fit in den...

Using a combination of Kawashimaand Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun [9] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the...

Using a combination of Kawashimaand Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun [9] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the...

The vacuum solution ds 2 = dx 2 + x 2 dy 2 + 2 dz dt + ln x dt 2 of the Einstein gravitational field equation follows from the general ansatz ds 2 = dx 2 + g αβ (x) dx α dx β but fails to follow from it if the symmetric matrix g αβ (x) is assumed to be in diagonal form.

The maximally complicated arbitrary-dimensional “maximal” Galileon field equations simplify dramatically for symmetric configurations. Thus, spherical symmetry reduces the equations from the D− to the two-dimensional Monge-Ampere equation, axial symmetry to its cubic extension etc. We can then obtain explicit solutions, such as spherical or axial waves, and relate them to the (known) general, b...

It is shown that the α−dynamo of Magnetohydrodynamics, the hydrodynamic Squire equation as well as an interpolation model of PT −symmetric Quantum Mechanics are closely related as spectral problems in Krein spaces. For the α−dynamo and the PT −symmetric model the strong similarities are demonstrated with the help of a 2 × 2 operator matrix representation, whereas the Squire equation is re-inter...

Abstract The influence of two nonlinear terms on the orbital stability solitary wave solutions to generalized symmetric regularized-long-wave(gsrlw) equation is investigated in this paper. Based general conclusion judge orbit solution equation, stable and unstable velocity intervals gsrlw with low order are given. By appropriate transformation scaling, complexity caused by high-order overcome, ...

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...