Results 1 to 10 of about 2,801 (70)
An approach to elliptic equations with nonlinear gradient terms via a modulation framework
Bulletin of Mathematical Sciences, 2023 We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text ...
Lucas C. F. Ferreira, Wender S. Lagoin
doaj +1 more source
Generalized Differentiability of Continuous Functions
Fractal and Fractional, 2020 Many physical phenomena give rise to mathematical models in terms of fractal, non-differentiable functions. The paper introduces a broad generalization of the derivative in terms of the maximal modulus of continuity of the primitive function.
Dimiter Prodanov
doaj +1 more source
Extending Whitney's extension theorem: nonlinear function spaces [PDF]
, 2020 We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael +1 more
core +4 more sources
Weak observability estimates for 1-D wave equations with rough coefficients [PDF]
, 2013 In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" observability estimate, which extends the well-known observability results in ...
Fanelli, Francesco, Zuazua, Enrique
core +4 more sources
Coupled skinny baker's maps and the Kaplan-Yorke conjecture [PDF]
, 2013 The Kaplan-Yorke conjecture states that for "typical" dynamical systems with a physical measure, the information dimension and the Lyapunov dimension coincide.
Gröger, Maik, Hunt, Brian R.
core +1 more source
Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces
Axioms, 2013 We introduce and study Clarkson, Dol’nikov-Pichugov, Jacobi and mutual diameter constants reflecting the geometry of a Banach space and Clarkson, Jacobi and Pichugov classes of Banach spaces and their relations with James, self-Jung, Kottman and Schäffer
Sergey Ajiev
doaj +1 more source
Extremal dichotomy for uniformly hyperbolic systems [PDF]
, 2015 We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria +4 more
core +2 more sources
Metric mean dimension and analog compression
, 2020 Wu and Verd\'u developed a theory of almost lossless analog compression, where one imposes various regularity conditions on the compressor and the decompressor with the input signal being modelled by a (typically infinite-entropy) stationary stochastic ...
Gutman, Yonatan, Śpiewak, Adam
core +1 more source
Uniform Lipschitz Estimates in Bumpy Half-Spaces [PDF]
, 2014 This paper is devoted to the proof of uniform H\"older and Lipschitz estimates close to oscillating boundaries, for divergence form elliptic systems with periodically oscillating coefficients.
Kenig, Carlos, Prange, Christophe
core +2 more sources
Regularity of harmonic discs in spaces with quadratic isoperimetric inequality [PDF]
, 2015 We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic isoperimetric inequality for curves. The class of such metric spaces includes compact Lipschitz manifolds, metric spaces with upper or lower curvature ...
A Zapadinskaya +25 more
core +2 more sources