Embedding of vector-valued Morrey spaces and separable differential operatorsBulletin of Mathematical Sciences - - Trang 1-23 - 2018
Maria Alessandra Ragusa, Veli Shakhmurov
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 coefficientsBulletin of Mathematical Sciences - Tập 7 - Trang 247-307 - 2017
G. Eskin
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 ...... hiện toàn bộ
Maximum principles for nonlocal parabolic Waldenfels operatorsBulletin of Mathematical Sciences - - Trang 1-31 - 2018
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
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....... hiện toàn bộ
Minimal surfaces in $$S^3$$ : a survey of recent resultsBulletin of Mathematical Sciences - Tập 3 - Trang 133-171 - 2013
Simon Brendle
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
...... hiện toàn bộ
Direct-sum decompositions of modules with semilocal endomorphism ringsBulletin of Mathematical Sciences - Tập 2 - Trang 225-279 - 2012
Alberto Facchini
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...... hiện toàn bộ
The Berezin inequality on domains of infinite measureBulletin of Mathematical Sciences - Tập 3 - Trang 173-182 - 2013
Lukas Schimmer
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...... hiện toàn bộ
Plurisubharmonicity for the solution of the Fefferman equation and applicationsBulletin of Mathematical Sciences - - 2015
Song-Ying Li
In this paper, the author introduces a concept of the super-pseudoconvex domain. He proves that the solution of the Fefferman equation on a smoothly bounded strictly pseudoconvex domain D in
$${\mathbb {C}}^n$$
is plurisubharmonic in D if and onl...... hiện toàn bộ