singular pdes
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scholarly journals On the summability of divergent power series satisfying singular PDEs

2019 ◽  
Vol 357 (3) ◽  
pp. 258-262 ◽  
Author(s):  
Hua Chen ◽  
Zhuangchu Luo ◽  
Changgui Zhang
Keyword(s):  
Power Series ◽  
Divergent Power Series ◽  
Singular Pdes

scholarly journals Heat semigroup and singular PDEs

2016 ◽  
Vol 270 (9) ◽  
pp. 3344-3452 ◽  
Author(s):  
I. Bailleul ◽  
F. Bernicot
Keyword(s):  
Heat Semigroup ◽  
Singular Pdes

scholarly journals PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

2015 ◽  
Vol 3 ◽  
Author(s):  
MASSIMILIANO GUBINELLI ◽  
PETER IMKELLER ◽  
NICOLAS PERKOWSKI
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
White Noise ◽  
Anderson Model ◽  
Stochastic Pde ◽  
Parabolic Anderson Model ◽  
Rough Paths ◽  
Nonlinear Version ◽  
Singular Pdes ◽  
Paracontrolled Distributions

We introduce an approach to study certain singular partial differential equations (PDEs) which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illustrate its applicability on some model problems such as differential equations driven by fractional Brownian motion, a fractional Burgers-type stochastic PDE (SPDE) driven by space-time white noise, and a nonlinear version of the parabolic Anderson model with a white noise potential.

scholarly journals On the use of state constraints in optimal control of singular PDEs

2013 ◽  
Vol 62 (1) ◽  
pp. 48-54 ◽  
Author(s):  
Christian Clason ◽  
Barbara Kaltenbacher
Keyword(s):  
Optimal Control ◽  
State Constraints ◽  
Singular Pdes
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