[图书][B] Variational and diffusion problems in random walk spaces
The digital world has brought with it many different kinds of data of increasing size and
complexity. Indeed, modern devices allow us to easily obtain images of higher resolution, as …
complexity. Indeed, modern devices allow us to easily obtain images of higher resolution, as …
Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound
D Mugnolo - Mathematische Nachrichten, 2024 - Wiley Online Library
Landscape functions are a popular tool used to provide upper bounds for eigenvectors of
Schrödinger operators on domains. We review some known results obtained in the last 10 …
Schrödinger operators on domains. We review some known results obtained in the last 10 …
Kurdyka–Łojasiewicz–Simon inequality for gradient flows in metric spaces
This paper is dedicated to providing new tools and methods for studying the trend to
equilibrium of gradient flows in metric spaces $(\mathfrak {M}, d) $ in the entropy and metric …
equilibrium of gradient flows in metric spaces $(\mathfrak {M}, d) $ in the entropy and metric …
The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems
In this paper, we present first insights about the Dirichlet-to-Neumann operator in L 1
associated with the 1-Laplace operator or total variational flow operator. This operator is the …
associated with the 1-Laplace operator or total variational flow operator. This operator is the …
A doubly nonlinear evolution problem involving the fractional p-Laplacian
T Collier, D Hauer - arXiv preprint arXiv:2110.13401, 2021 - arxiv.org
In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value
problem driven by the fractional $ p $-Laplacian equipped with homogeneous Dirichlet …
problem driven by the fractional $ p $-Laplacian equipped with homogeneous Dirichlet …
Nonlocal diffusion equations with dynamical boundary conditions
In this paper we study nonlocal problems that are analogous to the local ones given by the
Laplacian or the p− Laplacian with dynamical boundary conditions. We deal both with …
Laplacian or the p− Laplacian with dynamical boundary conditions. We deal both with …
Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent
Y Deng, Z Tan, M Xie - Advances in Nonlinear Analysis, 2023 - degruyter.com
We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-
to-Neumann operator of p-Laplace type at the critical Sobolev exponent. We first obtain the …
to-Neumann operator of p-Laplace type at the critical Sobolev exponent. We first obtain the …
Maximal L2-regularity in nonlinear gradient systems and perturbations of sublinear growth
W Arendt, D Hauer - Pure and Applied Analysis, 2019 - msp.org
The nonlinear semigroup generated by the subdifferential of a convex lower semicontinuous
function φ has a smoothing effect, discovered by Haïm Brezis, which implies maximal …
function φ has a smoothing effect, discovered by Haïm Brezis, which implies maximal …
Regularizing effect of homogeneous evolution equations with perturbation
D Hauer - Nonlinear Analysis, 2021 - Elsevier
Since the pioneering works by Aronson and Bénilan (1979), and Bénilan and Crandall
(1981) it is well-known that first-order evolution problems governed by a nonlinear but …
(1981) it is well-known that first-order evolution problems governed by a nonlinear but …
Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions
We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear
diffusion problems of p-Laplacian type with nonlinear boundary conditions posed in metric …
diffusion problems of p-Laplacian type with nonlinear boundary conditions posed in metric …