finite smoothness
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scholarly journals On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness

2018 ◽  
Vol 56 (2) ◽  
pp. 684-707 ◽  
Author(s):  
Josef Dick ◽  
Christian Irrgeher ◽  
Gunther Leobacher ◽  
Friedrich Pillichshammer
Keyword(s):  
Optimal Order ◽  
Finite Smoothness

On Convergence of Flat Multivariate Interpolation by Translation Kernels with Finite Smoothness

2014 ◽  
Vol 40 (1) ◽  
pp. 37-60 ◽  
Author(s):  
Yeon Ju Lee ◽  
Charles A. Micchelli ◽  
Jungho Yoon
Keyword(s):  
Multivariate Interpolation ◽  
Finite Smoothness

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness

2011 ◽  
Vol 36 (3) ◽  
pp. 485-501 ◽  
Author(s):  
Guohui Song ◽  
John Riddle ◽  
Gregory E. Fasshauer ◽  
Fred J. Hickernell
Keyword(s):  
Radial Basis Functions ◽  
Basis Functions ◽  
Multivariate Interpolation ◽  
Radial Basis ◽  
Finite Smoothness

scholarly journals Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients

2009 ◽  
Vol 2009 ◽  
pp. 1-15
Author(s):  
Akbar B. Aliev ◽  
Gulnara D. Shukurova
Keyword(s):  
Cauchy Problem ◽  
Hyperbolic Equations ◽  
Well Posedness ◽  
Singular Coefficients ◽  
The Cauchy Problem ◽  
Finite Smoothness

We consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients. We prove well-posedness of the corresponding Cauchy problem in some functional spaces. These functional spaces have finite smoothness with respect to variables corresponding to regular coefficients and infinite smoothness with respect to variables corresponding to singular coefficients.

FREE BOUNDARY PROBLEM FOR AN INCOMPRESSIBLE IDEAL FLUID WITH SURFACE TENSION

2002 ◽  
Vol 12 (12) ◽  
pp. 1725-1740 ◽  
Author(s):  
MASAO OGAWA ◽  
ATUSI TANI
Keyword(s):  
Surface Tension ◽  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Incompressible Euler Equation ◽  
Incompressible Ideal Fluid ◽  
Finite Smoothness ◽  
A Free Boundary Problem ◽  
Class Of Functions ◽  
Incompressible Euler

We prove that a free boundary problem for an incompressible Euler equation with surface tension is uniquely solvable, locally in time, in a class of functions of finite smoothness. Moreover, it is shown that the solution of this problem converges to the solution of the problem without surface tension as the coefficient of the surface tension tends to zero.

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