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The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain...
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Well-Posedness of Mild Solutions for Superdiffusion Equations with Spatial Nonlocal Operators
In this paper, we study the well-posedness for a class of semilinear superdiffusion equations with spatial nonlocal operators. We first establish the...
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Dynamics and Wong-Zakai Approximations of Stochastic Nonlocal PDEs with Long Time Memory
In this paper, a combination of Galerkin’s method and Dafermos’ transformation is first used to prove the existence and uniqueness of solutions for a...
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Admissibility via Induced Delay Equations
We give a new characterization of the existence of an exponential dichotomy for the class of induced delay equations , introduced recently in Barreira...
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On the Stability of Killing Cylinders in Hyperbolic Space
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem....
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Harmonic Morphisms from Fefferman Spaces
We study a ramification of a phenomenon discovered by Baird and Eells (in: Looijenga et al (eds) Geometry Symposium Utrecht 1980. Lecture Notes in...
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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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Existence and Linear Stability of Symmetric Periodic Orbits in the Generalized Planar Stark–Zeeman Problem
The purpose of this paper is to demonstrate the existence of symmetric periodic solutions for a two-dimensional hydrogen atom subject to external...
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Hardy-Littlewood Type Theorems and a Hopf Type Lemma
The main aim of this paper is to investigate Hardy-Littlewood type Theorems and a Hopf type lemma on functions induced by a differential operator. We...
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Geometric Description of Some Loewner Chains with Infinitely Many Slits
We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a...
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A Non-spin Method to the Positive Weighted Mass Theorem for Weighted Manifolds
In this paper, we investigate the weighted mass for weighted manifolds. By establishing a version of density theorem and generalizing Geroch...
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Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
The optimal control problems for the wave equation are considered on networks. The turnpike property is shown for the state equation, the adjoint...
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Riemann-Hilbert approach for the complex Sharma-Tasso-Olver equation with high-order poles
The inverse scattering transform is considered for the complex Sharma-Tasso-Olver equation with zero boundary condition by Riemann-Hilbert method....
