3 citations · 5 across the 7 of their papers we have counts for
7 papers
Nonlocal Mean Curvature with Integrable Kernel
Animesh Biswas, Mikil Foss, Petronela Radu
We study the prescribed constant mean curvature problem in the nonlocal setting where the nonlocal curvature has been defined as $$ H^J_Ω(x):=\int_{\mathbb{R} ^n} J(x-y)(χ_{Ω^c}(y)…
-caloric approximation and partial regularity for parabolic systems with Orlicz growth
Mikil Foss, Teresa Isernia, Chiara Leone +1
We prove a new -caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the…
Sensitivity analysis for solutions to heterogeneous nonlocal systems
Nicole Buczkowski, Mikil Foss, Michael Parks +1
The paper presents a collection of results on continuous dependence for solutions to nonlocal problems under perturbations of data and system parameters. The integral operators app…
Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions
Mikil Foss, Petronela Radu, Yue Yu
The nonlocal models of peridynamics have successfully predicted fractures and deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary conditio…
Traces on General Sets in for Functions with no Differentiability Requirements
Mikil Foss
This paper is concerned with developing a theory of traces for functions that are integrable but need not possess any differentiability within their domain. Moreover, the domain ca…
Nonlocal Poincaré Inequalities for Integral Operators with Integrable Nonhomogeneous Kernels
Mikil Foss
The paper provides two versions of nonlocal Poincaré-type inequalities for integral operators with a convolution-type structure and functions satisfying a zero-Dirichlet like condi…