Search
Search Results
-
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions
This paper is dedicated to investigating the chaos of a initial-boundary value (IBV) problem of a multi-dimensional weakly hyperbolic equation...
-
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...
-
Electrostatic Forces on Conductors with Boundary Element Methods in 3D
In this work we are concerned with computing local/global electrostatic forces and torques on perfect electrical conductors using the boundary...
-
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone
AbstractWe consider a special boundary value problem in the Sobolev–Slobodetskii space for a model elliptic pseudodifferential equation in a...
-
Measure and Dimension of the Free Boundary
This chapter is dedicated to the measure theoretic structure of the free boundary ∂ Ωu. The results presented here are mainly a consequence of the...
-
Hardy spaces of meta-analytic functions and the Schwarz boundary value problem
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...
-
Removable singularities in the boundary for quasilinear elliptic equations
In this work, we are interested in to study removability of a singular set in the boundary for some classes of quasilinear elliptic equations. We...
-
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement
We study the determination of some rigid inclusions immersed in an isotropic elastic medium from overdetermined boundary data. We propose an accurate...
-
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents
In this paper we study a long-time dynamics for a nonlinearly forced 3-D wave equation subject to nonlinear boundary dissipation. Nonlinear forces...
-
Boundary metric of Epstein-Penner convex hull and discrete conformality
The Epstein-Penner convex hull construction associates to every decorated punctured hyperbolic surface a convex set in the Minkowski space. It works...
-
Stability of Wave Equation with Variable Coefficients by Boundary Fractional Dissipation Law
In this paper, we consider the boundary stability of the wave equation with variable coefficients and fractional dam** acting on part of the...
-
Bi-Sobolev boundary singularities
We provide sharp geometric descriptions of boundary singularities in the form of cusps that can be created by a deformation of a hyperelastic body...
-
The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation
A new class of initial-boundary value problems with nonlocal conditions on the Newton potential for the case of a degenerate equation were set and...
-
Asymptotic Behavior of Solutions for Multi-stable Equation with Dirichlet Boundary Condition
We study a free boundary problem with a type of multi-stable nonlinearity and a Dirichlet boundary condition, the model describes the spreading of...
-
A New Unified Method for Boundary Hölder Continuity of Parabolic Equations
In a recent work due to Lian et al., the authors proposed new geometric conditions to study the pointwise boundary Hölder regularity for kinds of...
-
Generalized Integration over Nonrectifiable Flat Curves and Boundary Value Problems
AbstractTwo closely related problems are discussed, viz., solving the Riemann boundary value problem for analytic functions and some of their...
-
A Boundary Control Problem for Stochastic 2D-Navier–Stokes Equations
We study a stochastic velocity tracking problem for the 2D-Navier–Stokes equations perturbed by a multiplicative Gaussian noise. From a physical...
-
A level line of the Gaussian free field with measure-valued boundary conditions
In this article, we construct samples of Schramm-Loewner-evolution-like curves out of samples of the conformal loop ensemble and Poisson point...
-
Flexibility of Steklov eigenvalues via boundary homogenisation
Recently, D. Bucur and M. Nahon used boundary homogenisation to show the remarkable flexibility of Steklov eigenvalues of planar domains. In the...