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......
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......
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......
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......
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(......
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......
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......
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-......
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......
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......
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......
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 ......
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 ......
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 ......
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......