Results 1 to 10 of about 122 (75)
An approach to elliptic equations with nonlinear gradient terms via a modulation framework
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
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Generalized Differentiability of Continuous Functions
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
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Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces
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
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Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines
Introduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
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Phelps type duality results in best approximation
The aim of the present paper is to show that many Phelps type duality result, relating the extension properties of various classes of functions (continuous, linear continuous, bounded bilinear, Hölder-Lipschitz) with the approximation properties ...
Ştefan Cobzaş
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On the solution stability of parabolic optimal control problems. [PDF]
Corella AD, Jork N, Veliov VM.
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Exception Sets of Intrinsic and Piecewise Lipschitz Functions. [PDF]
Leobacher G, Steinicke A.
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On Acceleration of Gradient-Based Empirical Risk Minimization using Local Polynomial Regression. [PDF]
Trimbach E, Nguyen EDH, Uribe CA.
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Li-Yau inequalities for the Helfrich functional and applications. [PDF]
Rupp F, Scharrer C.
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