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Commutators of Cauchy-Szego Type Integrals for Domains in C-n with Minimal Smoothness

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (4)

In this paper we study the commutator of the Cauchy-type integral C on a bounded strongly pseudoconvex domain D in C-n with boundary bD satisfying the......

Noncompact L-p-Minkowski Problems

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (3)

In this paper, we prove the existence of complete, noncompact convex hypersurfaces whose p-curvature function is prescribed on a domain in the unit sp......

On Corners Scattering Stably and Stable Shape Determination by a Single Far-Field Pattern

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (3)

In this paper, we establish two sharp quantitative results for the direct and inverse time-harmonic acoustic wave scattering. The first one is concern......

On Superspecial Abelian Surfaces and Type Numbers of Totally Definite Quaternion Algebras

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (2)

In this paper, we determine the number of isomorphism classes of the endomorphism rings of superspecial abelian surfaces over a field F-q of odd degre......

Bi-Lipschitz Characteristic of Quasiconformal Self-Mappings of the Unit Disk Satisfying the Bi-Harmonic Equation

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (3)

For K >= 1, suppose that f is a K-quasiconformal self-mapping of the unit disk D, which satisfies the following: (1) the biharmonic equation Delta(......

A Volume-Preserving Anisotropic Mean Curvature Type Flow

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (3)

We study the anisotropic analogue of Guan-Li's volume-preserving mean curvature type flow in Euclidean space. The main result is that, starting from a......

Qualitative Analysis of Solutions for the Generalized Zakharov Equations with Magnetic Field in R-d

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (1)

Herein we study the well-posedness, lower bound of blow-up rate, and large-time behavior of a global solution to the Cauchy problem of the generalized......

Cauchy Problem of a System of Parabolic Conservation Laws Arising From the Singular Keller-Segel Model in Multi-Dimensions

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021; 70 (1)

In this paper, we study the qualitative behavior of solutions to the Cauchy problem of a system of parabolic conservation laws, derived from a Keller-......

An Operator that Relates to Semi-Meander Polynomials via a Two-Sided q-Wick Formula

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020; 69 (6)

We consider the sequence (Q(n))(n-1)(infinity) of semi-meander polynomials which are used in the enumeration of semi-meandric systems (a family of dia......

An Application of Nakayama Functor in Representation Stability Theory

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020; 69 (7)

Using the Nakayama functor, we construct an equivalence from a Serre quotient category of a category of finitely generated modules to a category of fi......

Concentration Phenomena in an Integro-PDE Model for Evolution of Conditional Dispersal

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019; 68 (3)

In order to study the evolution of conditional dispersal, we extend the Perthame-Souganidis mutation-selection model and consider an integro-PDE model......

JIF:1.09

Locator Function for Concentration Points in a Spatially Heterogeneous Semilinear Neumann Problem

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019; 68 (1)

This paper is concerned with qualitative properties of solutions of the boundary value problem for a second-order semilinear elliptic equation with a ......

JIF:1.09

Global Solutions to a Class of Two-Dimensional Riemann Problems for the Euler Equations with a General Equation of State

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019; 68 (5)

We consider a class of two-dimensional Riemann problems for the compressible Euler equations with a general equation of state p = p(tau). In order to ......

JIF:1.09

On Formation of Singularity of the Full Compressible Magnetohydrodynamic Equations with Zero Heat Conduction

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019; 68 (5)

We are concerned with the formation of singularity and breakdown of strong solutions to the Cauchy problem of the three-dimensional full compressible ......

JIF:1.09

Qualitative Analysis of Solutions for the Full Compressible Euler Equations in R-N

期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2018; 67 (1)

The present article is devoted to the study of the well-posedness, blow-up criterion, and lower semicontinuity of the existence time for the full comp......

JIF:1.09

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