Applications of harmonic analysis techniques to regularity problems of dissipative equations

2020 ◽  
pp. 35-56
Author(s):  
Mimi Dai ◽  
Han Liu
Keyword(s):  
Harmonic Analysis ◽  
Analysis Techniques

Regularity Estimates for Nondivergence Parabolic Equations on Generalized Orlicz Spaces

2020 ◽  
Author(s):  
The Anh Bui
Keyword(s):  
Parabolic Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Harmonic Analysis ◽  
Parabolic Equations ◽  
Orlicz Spaces ◽  
Representation Theorems ◽  
New Approach ◽  
Analysis Techniques ◽  
Regularity Estimates

Abstract In this paper, by using a new approach, we prove regularity estimates for the solution to the nondivergence parabolic equation on generalized Orlicz spaces. Our approach can be viewed as a combination of representation theorems in partial differential equations and harmonic analysis techniques.

Comparison Among Three Harmonic Analysis Techniques on the Sphere and the Ellipsoid

2014 ◽  
Vol 8 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Hussein Abd-Elmotaal ◽  
Mostafa Abd-Elbaky ◽  
Kurt Seitz ◽  
Bernhard Heck
Keyword(s):  
Harmonic Analysis ◽  
Analysis Techniques

Impulse denoising based on noise accumulation and harmonic analysis techniques

Optik ◽  
2020 ◽  
pp. 166163
Author(s):  
Dang N.H. Thanh ◽  
V.B. Surya Prasath ◽  
Thai Kim Phung ◽  
Nguyen Quoc Hung
Keyword(s):  
Harmonic Analysis ◽  
Analysis Techniques

scholarly journals On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Zujin Zhang ◽  
Xiaofeng Wang ◽  
Zheng-an Yao
Keyword(s):  
Weak Solution ◽  
Galerkin Method ◽  
Harmonic Analysis ◽  
Hyperbolic Equation ◽  
Nonlinear Hyperbolic Equation ◽  
Analysis Techniques ◽  
The Galerkin Method ◽  
Compactness Arguments ◽  
Relative Theory

We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactness arguments.

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