Potential Analysis
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1572-929x, 0926-2601
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scholarly journals Weighted Discrete Hardy Inequalities on Trees and Applications

2022 ◽  
Author(s):  
Fernando López-García ◽  
Ignacio Ojea
Keyword(s):  
Hardy Inequalities

scholarly journals Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise

2022 ◽  
Author(s):  
Ľubomír Baňas ◽  
Huanyu Yang ◽  
Rongchan Zhu
Keyword(s):  
White Noise ◽  
Space Time ◽  
Sharp Interface ◽  
Two Dimensional ◽  
Sharp Interface Limit ◽  
Hilliard Equation ◽  
Stochastic Problems ◽  
Divergence Type ◽  
Cahn Hilliard Equation

AbstractWe study the sharp interface limit of the two dimensional stochastic Cahn-Hilliard equation driven by two types of singular noise: a space-time white noise and a space-time singular divergence-type noise. We show that with appropriate scaling of the noise the solutions of the stochastic problems converge to the solutions of the determinisitic Mullins-Sekerka/Hele-Shaw problem.

scholarly journals Coercive Inequalities and U-Bounds on Step-Two Carnot Groups

2021 ◽  
Author(s):  
Esther Bou Dagher ◽  
Bogusław Zegarliński
Keyword(s):  
Carnot Groups ◽  
Probability Measures ◽  
Sobolev Inequalities

AbstractWe prove Poincaré and Logβ-Sobolev inequalities for a class of probability measures on step-two Carnot groups.

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