Results 111 to 120 of about 96,434 (313)
Regularity for a Local–Nonlocal Transmission Problem [PDF]
Archive for Rational Mechanics and Analysis, 2015 We formulate and study an elliptic transmission-like problem combining local and nonlocal elements. Let $\mathbb{R}^{n}$ be separated into two components by a smooth hypersurface $ $. On one side of $ $, a function satisfies a local second-order elliptic equation. On the other, it satisfies a nonlocal one of lower order.
openaire +2 more sources
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Журнал Белорусского государственного университета: Математика, информатика, 2019 Error in the article "On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition"
Alexander L. Gladkov +1 more
doaj
The jumping problem for nonlocal singular problems
Discrete & Continuous Dynamical Systems - A, 2019 We consider a jumping problem for nonlocal singular problems. We apply a recent variational approach for nonlocal singular problem, together with a minimax method in the framework of nonsmooth critical point theory.
Canino A., Montoro L., Sciunzi B.
openaire +4 more sources
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities [PDF]
, 2023 Stéphane Malek
openalex +1 more source
Nonlocal sublinear elliptic problems involving measures
Journal of Mathematical Analysis and ApplicationsWe study Dirichlet problems for fractional Laplace equations of the form $(-Δ)^{\fracα{2}} u = f(x,u)$ in $\mathbb{R}^{n}$ for $0< ...
Aye Chan May, Adisak Seesanea
openaire +3 more sources
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate a three dimensional dual echo magnetic resonance fingerprinting sequence for simultaneous proton resonance frequency shift (PRFS) and T1$$ {T}_1 $$ thermometry during microwave ablation with T1$$ {T}_1 $$ improving robustness near gas bubble induced susceptibility changes while PRFS provides high precision elsewhere ...
Moritz Gutt +7 more
wiley +1 more source
A problem with nonlocal conditions for partial differential equations with constant coefficients [PDF]
, 2010 O. D. Vlasii
openalex +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
wiley +1 more source