Uniqueness theorems for subharmonic functions in unbounded domains

Uniqueness Theorems for Rational Functions

In his book on the theory of meromorphic functions, R. Nevanlinna proved a number of "uniqueness theorems." The most important of them states that if two functions w=f(x) and w = g(x), meromorphic in the whole x-plane, assume five values of w (finite or infinite) at the same points x they must be identical. If we understand by the distribution of a function w = (x) with respect to a given va...

Uniqueness Theorems for Multidimensional inverse Problems with Unbounded Coefficients

Uniqueness Theorems for Inverse Obstacle Scattering Problems in Lipschitz Domains

For the Neumann and Robin boundary conditions the uniqueness theorems for inverse obstacle scattering problems are proved in Lipschitz domains. The role of non-smoothness of the boundary is analyzed.

Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.

Uniqueness theorems for polyhedra.

In 1813, Cauchy2 gave the first proof of the theorem that two closed convex polyhedra in three-dimensional space are congruent if their faces are congruent in pairs and are joined to each other in the same order: in effect, the a priori possibility of rotations of the faces about the edges-which are obviously seen to be possible for some easily constructed open polyhedra-cannot occur for closed...