General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations
Electronic Journal of Differential Equations, 2020 We study a general p-curl system arising from a model of type-II superconductors. We show several trace theorems that hold on either a Lipschitz domain with small Lipschitz constant or on a C^{1,1} domain.
Dhruba R. Adhikari, Eric Stachura
doaj
Boundary Value Problems, 2006 Let L be a divergence form operator with Lipschitz continuous coefficients in a domain Ω, and let u be a continuous weak solution of Lu=0 in {u≠0}.
Sandro Salsa, Fausto Ferrari
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Robust and provably monotonic networks
Machine Learning: Science and Technology, 2023 The Lipschitz constant of the map between the input and output space represented by a neural network is a natural metric for assessing the robustness of the model.
Ouail Kitouni +2 more
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Uniqueness in Calderon's problem with Lipschitz conductivities
, 2012 We use X^{s,b}-inspired spaces to prove a uniqueness result for Calderon's problem in a Lipschitz domain under the assumption that the conductivity is Lipschitz.
Haberman, Boaz, Tataru, Daniel
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COMPARISON OF VARIOUS APPROACHES TO MULTI-CHANNEL INFORMATION FUSION IN C-OTDR SYSTEMS FOR REMOTE MONITORING OF EXTENDED OBJECTS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 The paper presents new results concerning selection of optimal information fusion formula for ensembles of COTDR channels. Here C-OTDR is a coherent optical time domain reflectometer.
A. V. Timofeev
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Planning With Learned Dynamics: Probabilistic Guarantees on Safety and Reachability via Lipschitz Constants [PDF]
IEEE Robotics and Automation Letters, 2020 We present a method for feedback motion planning of systems with unknown dynamics which provides probabilistic guarantees on safety, reachability, and goal stability.
Craig Knuth +3 more
semanticscholar +1 more source
On the explicit representation of the trace space $$H^{\frac{3}{2}}$$ and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems [PDF]
, 2021 Pier Domenico Lamberti, Luigi Provenzano
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GENERALIZED FUNCTIONS OF BOUNDARY
Pesquimat, 2014 In this paper we prove that in general, the restriction of a function space of Sobolev H1(Ω) the boundary of the domain Ω belongs to L2(∂Ω); for the case of boundary regularly provided to be continuous and Lipschitz.
Claudio Fernando Balcázar Huapaya +1 more
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Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary [PDF]
, 2023 Grigori Rozenblum
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The Dirichlet problem for higher order equations in composition form [PDF]
, 2013 The present paper commences the study of higher order differential equations in composition form. Specifically, we consider the equation Lu=\Div B^*\nabla(a\Div A\nabla u)=0, where A and B are elliptic matrices with complex-valued bounded measurable ...
Barton, Ariel, Mayboroda, Svitlana
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