AbstractIn this paper, integrals of second kind over a rectifiable curve or a piecewise smooth surface are extended to continuous fractal curves and surfaces. Theorems for the existence of these integrals are proved. Green's, Gauss' and Stokes' theorems are developed for domains with fractal boundaries
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
AbstractIn this paper, integrals of second kind over a rectifiable curve or a piecewise smooth surfa...
The present paper is dealing with an integral over fractal non-rectifiable curve on the comple...
International audienceThe aim of our work is to specify and develop a geometric modeler, based on th...
We study a Stokes problem in a three dimensional fractal domain of Koch type and in the correspondi...
Abstract. We provide two methods for constructing smooth bump functions and for smoothly cutting off...
Proceedings of The First Symposium on Non-Linear Analysis : CONVEXITY, CHAOS AND FRACTALS / edited b...
In this paper, we conduct research on the fractal characteristics of the superposition of fractal su...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
Starting from elementary geometrical, combinatorial and algorithmic properties of recursively define...
The purpose of this paper is to show that, if α > 1/3 and ε > 0, the boundary of an α-Hölder d...
The aim of this talk is to describe second order transmission problems involving a layer of fractal...
Most of the fractal functions studied so far run through numerical values. Usually they are supporte...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
AbstractIn this paper, integrals of second kind over a rectifiable curve or a piecewise smooth surfa...
The present paper is dealing with an integral over fractal non-rectifiable curve on the comple...
International audienceThe aim of our work is to specify and develop a geometric modeler, based on th...
We study a Stokes problem in a three dimensional fractal domain of Koch type and in the correspondi...
Abstract. We provide two methods for constructing smooth bump functions and for smoothly cutting off...
Proceedings of The First Symposium on Non-Linear Analysis : CONVEXITY, CHAOS AND FRACTALS / edited b...
In this paper, we conduct research on the fractal characteristics of the superposition of fractal su...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
Starting from elementary geometrical, combinatorial and algorithmic properties of recursively define...
The purpose of this paper is to show that, if α > 1/3 and ε > 0, the boundary of an α-Hölder d...
The aim of this talk is to describe second order transmission problems involving a layer of fractal...
Most of the fractal functions studied so far run through numerical values. Usually they are supporte...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
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