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Weighted estimates for Marcinkiewicz integrals with applications to angular integrability

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

We establish the weighted estimates for the parametric Marcinkiewicz integral operators with rough kernels along "polynomial curves" on R-n. As applic......

Localized John-Nirenberg-Campanato spaces

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (1)

Let p is an element of (1,infinity), q is an element of [1,infinity), s is an element of Z+, alpha is an element of [0,infinity), and X be Rn or a cub......

Modified constrained KP hierarchy and bi-Hamiltonian structures

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (1)

We consider new modifications for the constrained KP hierarchy associated with a sequence of energy-dependent Lax operators. When n=1,2, the hierarchi......

On the regular part of the Bloch Green's function for the Laplacian: analytical formula and critical points

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (2)

This paper is concerned with the regular part of the Bloch Green's function in a Wigner-Seitz lattice cell. We first give a new fast converging series......

New blow-up criterion for the Degasperis-Procesi equation with weak dissipation

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

In this paper, we investigate the Cauchy problem of the Degasperis-Procesi equation with weak dissipation. We establish a new local-in-space blow-up c......

A normal criterion of families of holomorphic functions

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

Let F be a family of holomorphic functions on a domain D, and let h(not equivalent to 0) be a holomorphic function on D. If every f is an element of F......

Painleve IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

In this paper, we present the characteristic of a certain discontinuous linear statistic of the semi-classical Laguerre unitary ensembles w(z, t) = A ......

Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

We are interested in the existence and multiplicity of ground state solutions for a class of p(x)-Laplacian Dirichlet problem in bounded domains. Firs......

Amenable upper mean dimensions

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

In this paper we formulate the notions of upper metric mean dimension and upper measure-theoretic mean dimension for amenable group actions. In partic......

Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (4)

In this paper, we propose a hierarchy of coupled discrete Sawada-Kotera equations associated with a 3x3 matrix spectral problem. Using the characteris......

Quasi-periodic solutions of the Heisenberg hierarchy

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (2)

The Heisenberg hierarchy and its Hamiltonian structure are obtained respectively by use of the zero curvature equation and the trace identity. With th......

Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

This paper deals with a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth. By using the vari......

Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrodinger equation

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (2)

In this paper, the Riemann-Hilbert problem of the Sasa-Satsuma higher-order nonlinear Schrodinger equation is investigated, from which spectral and so......

Estimates for the operators V-alpha(-Delta plus V)(-beta) with nonnegative potentials V

期刊: ANALYSIS AND MATHEMATICAL PHYSICS, 2021; 11 (3)

We consider the Schrodinger operator L = -Delta + V on R-n, where n >= 3 and the nonnegative potential V belongs to reverse Holder class RHs for s ......

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