Bulletin of Mathematical Sciences
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Embedding of vector-valued Morrey spaces and separable differential operators
Bulletin of Mathematical Sciences - - Trang 1-23 - 2018
The paper is the first part of a program devoted to the study of the behavior of operator-valued multipliers in Morrey spaces. Embedding theorems and uniform separability properties involving E-valued Morrey spaces are proved. As a consequence, maximal regularity for solutions of infinite systems of anisitropic elliptic partial differential equations are established.
Inverse problems for general second order hyperbolic equations with time-dependent coefficients
Bulletin of Mathematical Sciences - Tập 7 - Trang 247-307 - 2017
We study the inverse problems for the second order hyperbolic equations of general form with time-dependent coefficients assuming that the boundary data are given on a part of the boundary. The main result of this paper is the determination of the time-dependent Lorentzian metric by the boundary measurements. This is achieved by the adaptation of a variant of the boundary control method developed ......
Amenable groups without finitely presented amenable covers
Bulletin of Mathematical Sciences - Tập 3 - Trang 73-131 - 2013
The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groups
$$G$$
with the following properties: (i)
$$G$$
......
Maximum principles for nonlocal parabolic Waldenfels operators
Bulletin of Mathematical Sciences - - Trang 1-31 - 2018
As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the construction with jumps). This work is devoted to prove the weak and strong maximum principles for ‘parabolic’ equations with nonlocal Waldenfels operators.......
Minimal surfaces in $$S^3$$ : a survey of recent results
Bulletin of Mathematical Sciences - Tập 3 - Trang 133-171 - 2013
In this survey, we discuss various aspects of the minimal surface equation in the three-sphere
$$S^3$$
. After recalling the basic definitions, we describe a family of immersed minimal tori with rotational symmetry. We then review the known examples of embedded minimal surfaces in
......
Direct-sum decompositions of modules with semilocal endomorphism rings
Bulletin of Mathematical Sciences - Tập 2 - Trang 225-279 - 2012
According to the classical Krull–Schmidt Theorem, any module of finite composition length decomposes as a direct sum of indecomposable modules in an essentially unique way, that is, unique up to isomorphism of the indecomposable summands and a permutation of the summands. Modules that do not have finite composition length can have completely different behaviors. In this survey, we consider in part......
Estimates of five restricted partition functions that are quasi polynomials
Bulletin of Mathematical Sciences - Tập 5 - Trang 1-11 - 2014
A function
defined on
is said to be a quasi polynomial if,
is a polynomial in
for each
......
The Berezin inequality on domains of infinite measure
Bulletin of Mathematical Sciences - Tập 3 - Trang 173-182 - 2013
The Berezin inequality gives an upper bound on the Riesz means of the magnetic Schrödinger operator on a set of finite volume. We find an analogous inequality for the magnetic operator with homogeneous magnetic field on sets whose complement in
$$\mathbb{R }^2$$
has finite measure. Similar bounds are obt......
Topological stability of a sequence of maps on a compact metric space
Bulletin of Mathematical Sciences - - 2014
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