scholarly journals Higher Regularity of Hölder Continuous Solutions of Parabolic Equations with Singular Drift Velocities

2011 ◽  
Vol 14 (2) ◽  
pp. 255-266 ◽  
Author(s):  
Susan Friedlander ◽  
Vlad Vicol
Keyword(s):  
Parabolic Equations ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Singular Drift ◽  
Higher Regularity

scholarly journals Continuous solutions to two iterative functional equations

2021 ◽  
Author(s):  
Karol Baron
Keyword(s):  
Probability Measure ◽  
Functional Equations ◽  
Continuous Functions ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Hölder Continuous Functions

AbstractBased on iteration of random-valued functions we study the problem of solvability in the class of continuous and Hölder continuous functions $$\varphi $$ φ of the equations $$\begin{aligned} \varphi (x)=F(x)-\int _{\Omega }\varphi \big (f(x,\omega )\big )P(d\omega ),\\ \varphi (x)=F(x)+\int _{\Omega }\varphi \big (f(x,\omega )\big )P(d\omega ), \end{aligned}$$ φ ( x ) = F ( x ) - ∫ Ω φ ( f ( x , ω ) ) P ( d ω ) , φ ( x ) = F ( x ) + ∫ Ω φ ( f ( x , ω ) ) P ( d ω ) , where P is a probability measure on a $$\sigma $$ σ -algebra of subsets of $$\Omega $$ Ω .

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets

2021 ◽  
Author(s):  
Le Mau Hai ◽  
Vu Van Quan
Keyword(s):  
Pseudoconvex Domain ◽  
Hölder Continuity ◽  
Type Equation ◽  
Holder Continuity ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Strictly Pseudoconvex Domain ◽  
Monge Ampere

In this paper, we establish existence of Hölder continuous solutions to the complex Monge–Ampère-type equation with measures vanishing on pluripolar subsets of a bounded strictly pseudoconvex domain [Formula: see text] in [Formula: see text].

scholarly journals Hölder continuous solutions to Monge–Ampère equations

2014 ◽  
Vol 16 (4) ◽  
pp. 619-647 ◽  
Author(s):  
Jean-Pierre Demailly ◽  
Sławomir Dinew ◽  
Vincent Guedj ◽  
Pham Hoang Hiep ◽  
Sławomir Kołodziej ◽  
...  
Keyword(s):  
Continuous Solutions ◽  
Hölder Continuous ◽  
Monge Ampere

scholarly journals Hölder continuous solutions to Monge-Ampère equations

2008 ◽  
Vol 40 (6) ◽  
pp. 1070-1080 ◽  
Author(s):  
V. Guedj ◽  
S. Kolodziej ◽  
A. Zeriahi
Keyword(s):  
Continuous Solutions ◽  
Hölder Continuous ◽  
Monge Ampere

scholarly journals Regularity of Hölder continuous solutions of the supercritical porous media equation

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Wenxin Yu ◽  
Yigang He ◽  
Yaonan Tong ◽  
Qiwu Luo ◽  
Xianming Wu
Keyword(s):  
Porous Media ◽  
Porous Media Equation ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Media Equation
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