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Coefficient Estimates for Starlike and Convex Functions Related to Sigmoid Functions
We give sharp coefficient bounds for starlike and convex functions related to modified sigmoid functions. We also provide some sharp coefficient...
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Distinguished Coefficient Tensors
One of the main goals in the current volume is to employ boundary layer potential operators associated with a given second-order weakly elliptic...
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Strichartz Estimates for Water Waves
Understanding the well-posedness of nonlinear evolution equations for low regularity data is a fundamental question in the analysis of PDEs. In the...
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A Coefficient Inverse Problem for the Mean Field Games System
A coefficient inverse problem (CIP) of the determination of a coefficient of the mean field games system (MFGS) of the second order is considered....
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Coefficient estimates for the family of starlike and convex functions of reciprocal order
Our purpose in the present investigation is to determine coefficient estimates and upper bounds of third Hankel determinant for the family of...
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Strichartz estimates for equations with structured Lipschitz coefficients
Sharp Strichartz estimates are proved for Schrödinger and wave equations with Lipschitz coefficients satisfying additional structural assumptions. We...
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The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin...
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Hyperbolically Lipschitz Continuity, Area Distortion, and Coefficient Estimates for (K, K′)-Quasiconformal Harmonic Map**s of the Unit Disk
We study the hyperbolically Lipschitz continuity, Euclidean and hyperbolic area distortion theorem, and coefficient estimates for the classes of ( K,...
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Generalized Varying Coefficient Mediation Models
Motivated by an analysis of causal mechanism from economic stress to entrepreneurial withdrawals through depressed affect, we develop a two-layer...
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Analysis and Discretization for an Optimal Control Problem of a Variable-Coefficient Riesz-Fractional Diffusion Equation with Pointwise Control Constraints
We present a mathematical and numerical study for a pointwise optimal control problem governed by a variable-coefficient Riesz-fractional diffusion...
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Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
This paper continues the study initiated in Davey (Arch Ration Mech Anal 228:159–196, 2018), where a high-dimensional limiting technique was...
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Inverse Coefficient Problem for a Time-Fractional Diffusion Equation in the Bounded Domain
AbstractIn this paper, an inverse problem of determining a time-dependent source coefficient in a one-dimensional time-fractional diffusion equation...
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Determination of a Non-Stationary Adsorption Coefficient Analytical in Part of Spatial Variables
AbstractThe multidimensional adsorption coefficient inverse problem is considered for a second order hyperbolic equation. It is supposed that this...
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Asymptotic Inference in the Random Coefficient Autoregressive Model with Time-functional Variance Noises
This paper considers the random coefficient autoregressive model with time-functional variance noises, hereafter the RCA-TFV model. We first...
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M-Estimates: A Review and Application for Decision-Making under Uncertainty
A brief overview of the evolution of the robust estimation methods is presented, in particular, the main concepts of m-estimation methods and their...
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Weierstrass Polynomials in Estimates of Oscillatory Integrals
In this paper, estimates are obtained for the Fourier transform of smooth charges (measures) concentrated on some nonconvex hypersurfaces. The...
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Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell
Uniform stabilization of a structural acoustic model describing an acoustic chamber with flexible curved wall is addressed. The coupled nonlinear...
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Constructing Estimates of Reachability Sets in Crowd Flows Modeling
AbstractMathematical modeling of crowd flows in a building is studied. The study is based on a modification of the discrete CTM macromodel built on...
