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Nonlocal Neumann boundary conditions

open access: yesBruno Pini Mathematical Analysis Seminar, 2023
We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for ...
Edoardo Proietti Lippi
doaj   +2 more sources

Artificial Neural Networks to Solve the Singular Model with Neumann–Robin, Dirichlet and Neumann Boundary Conditions [PDF]

open access: yesSensors, 2021
The aim of this work is to solve the case study singular model involving the Neumann–Robin, Dirichlet, and Neumann boundary conditions using a novel computing framework that is based on the artificial neural network (ANN), global search genetic algorithm
Kashif Nisar   +7 more
doaj   +2 more sources

Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2020
In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
doaj   +1 more source

Trace Formulae for Second-Order Differential Pencils with a Frozen Argument

open access: yesMathematics, 2023
This paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet.
Yi-Teng Hu, Murat Şat
doaj   +1 more source

Free energy and defect C-theorem in free scalar theory

open access: yesJournal of High Energy Physics, 2021
We describe conformal defects of p dimensions in a free scalar theory on a d-dimensional flat space as boundary conditions on the conformally flat space ℍ p+1 × 𝕊 d−p−1.
Tatsuma Nishioka, Yoshiki Sato
doaj   +1 more source

Boundary regularity results for minimisers of convex functionals with (p, q)-growth

open access: yesAdvances in Nonlinear Analysis, 2023
We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data.
Irving Christopher, Koch Lukas
doaj   +1 more source

Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary

open access: yesMathematics, 2023
In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
doaj   +1 more source

On the ghost problem of conformal gravity

open access: yesJournal of High Energy Physics, 2023
We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions — the Neumann boundary condition ...
Anamaria Hell   +2 more
doaj   +1 more source

Free energy and defect C-theorem in free fermion

open access: yesJournal of High Energy Physics, 2021
We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
doaj   +1 more source

On the localization and numerical computation of positive radial solutions for $\phi $-Laplace equations in the annulus

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general $\phi $-Laplace operator in the annulus.
Jorge Rodríguez-López   +2 more
doaj   +1 more source

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