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A Double Phase Problem with a Nonlinear Boundary Condition
In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in...
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Boundary value problems of quaternion-valued differential equations: solvability and Green’s function
This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential...
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Compression of boundary integral operators discretized by anisotropic wavelet bases
The present article is devoted to wavelet matrix compression for boundary integral equations when using anisotropic wavelet bases for the...
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Boundary Controllability of Riemann–Liouville Fractional Semilinear Evolution Systems
The main objective of this work is to steer a semilinear time-fractional diffusion control system involving Riemann–Liouville fractional derivative...
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Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole
In this paper, we study a bounded domain with a small hole removed. Our main result concerns the spectrum of the Laplace operator with the Robin...
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Boundary pointwise regularity and applications to the regularity of free boundaries
In this paper, we develop a series of boundary pointwise regularity for Dirichlet problems and oblique derivative problems. As applications, we give...
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Dirac cohomology on manifolds with boundary and spectral lower bounds
Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold...
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Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions
We consider incompressible Navier–Stokes equations in a bounded 2D domain, complete with the so-called dynamic slip boundary conditions. Assuming...
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The metric measure boundary of spaces with Ricci curvature bounded below
We solve a conjecture raised by Kapovitch, Lytchak and Petrunin in [
KLP21 ] by showing that the metric measure boundary is vanishing on any... -
G-invariant Bergman kernel and geometric quantization on complex manifolds with boundary
Let M be a complex manifold with smooth boundary X , which admits a compact connected Lie group G acting holomorphically and preserving X . We...
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The Second Boundary Value Problem for a Discrete Monge–Ampère Equation
In this work we propose a discretization of the second boundary condition for the Monge–Ampère equation arising in geometric optics and optimal...
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Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions
We consider a general class of bulk-surface convective Cahn–Hilliard systems with dynamic boundary conditions. In contrast to classical Neumann...
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Indirect Boundary Controllability of Coupled Degenerate Wave Equations
In this paper, we consider a system of two degenerate wave equations coupled through the velocities, only one of them being controlled. We assume...
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Asymptotic Analysis of Double Phase Mixed Boundary Value Problems with Multivalued Convection Term
This paper is concerned with the study of two kinds of new double phase problems with mixed boundary conditions and multivalued convection terms,...
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Existence of Solution of a Free Boundary Problem for Reaction–Diffusion Systems
In this paper, we prove the existence of a solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological...
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Boundary plasmas for a confined plasma problem in dimensional two
We consider a free boundary problem arising in the study of the equilibrium of a confined Tokamak plasma in dimensional two. By choosing a suitable...
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On a Solution of a Nonlinear Nonlocal Boundary Value Problem for one Class of Hyperbolic Equation
AbstractIn this paper we consider a nonlinear nonlocal boundary value problem for one class of systems of hyperbolic equations with mixed...