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Stability for coupled thermoelastic systems with nonlinear localized dam** and Wentzell boundary conditions
This paper is concerning with the study of stability involving a thermoelastic system with internal nonlinear localized dam**. The main novelty of...
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Positive solutions to semilinear Dirichlet problems with general boundary data
We give a probabilistic representation of the solution to a semilinear elliptic Dirichlet problem with general (discontinuous) boundary data. The...
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Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel
In this paper we consider a fluid-structure interaction problem given by the steady Navier Stokes equations coupled with linear elasticity taken from...
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Boundary Control of Coupled Non-Constant Parameter Systems of Time Fractional PDEs with Different-Type Boundary Conditions
This paper addresses a boundary state feedback control problem for a coupled system of time fractional partial differential equations (PDEs) with...
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Boundary Value Problems and Boundary Value Spaces
This chapter is devoted to the study of inhomogeneous boundary value problems. For this, we shall reformulate the boundary value problem again into a...
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The solvability of inhomogeneous boundary-value problems in Sobolev spaces
The aim of the paper is to develop a general theory of solvability of linear inhomogeneous boundary-value problems for systems of ordinary...
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On a Mixed Nonlinear Fractional Boundary Value Problem with a New Class of Closed Integral Boundary Conditions
In this paper, we investigate the existence of solutions for a fractional integro-differential equation with mixed nonlinearities subject to a new...
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Boundary Value and Control Problems for Mass Transfer Equations with Variable Coefficients
Boundary value and control problems for nonlinear mass transfer equation are studied in the case when the viscosity and diffusion coefficients depend...
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On a Discrete Boundary Value Problem in a Quarter-Plane
AbstractWe study a special discrete boundary value problem for a digital elliptic pseudo-differential operator in a discrete quadrant. Using a...
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Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements
This study revisits the problem of identifying the unknown interior Robin boundary of a connected domain using Cauchy data from the exterior region...
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Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems
AbstractWe study the solvability of discrete elliptic pseudodifferential equations in a sector of the plane. Using special factorization of the...
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Schemes of Finite Element Method for Solving Multidimensional Boundary Value Problems
We propose new computational schemes and algorithms of the finite element method for solving elliptic multidimensional boundary value problems with...
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Maxwell–Stokes system with Robin boundary condition
This paper concerns the Maxwell–Stokes system with either curl-Robin boundary condition or mixed curl-Robin boundary condition. While the curl-Robin...
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Rigidity of Free Boundary Minimal Disks in Mean Convex Three-Manifolds
The purpose of this article is to study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian...
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Higher order boundary Schauder estimates in Carnot groups
In his seminal 1981 study D. Jerison showed the remarkable negative phenomenon that there exist, in general, no Schauder estimates near the...
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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane
We consider the initial-boundary value problem of the nonlinear Schrödinger equation on the half plane with a nonlinear Neumann boundary condition....
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The extended persistent homology transform of manifolds with boundary
A shortcoming of persistent homology is that when two domains have different numbers of components or holes the persistence diagrams of any...
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Semiclassical analysis of a nonlocal boundary value problem related to magnitude
We study a Dirichlet boundary problem related to the fractional Laplacian in a manifold. Its variational formulation arises in the study of...