Results 61 to 70 of about 141 (130)

Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
doaj   +1 more source

Design of freeform mirrors using the concentric rings method. [PDF]

Heliyon, 2023
González-García J, Santiago-Alvarado A, Cruz-Félix AS.   +2 more
europepmc   +1 more source

Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we consider the parabolic equations with nonlocal Monge-Ampère operators ∂u∂t(x,t)−Dsθu(x,t)=f(u(x,t)),(x,t)∈R+n×R.\frac{\partial u}{\partial t}\left(x,t)-{D}_{s}^{\theta }u\left(x,t)=f\left(u\left(x,t)),\hspace{1.0em}\left(x,t)\in ...
Du Guangwei, Wang Xinjing
doaj   +1 more source

Averaging Effects and Their Applications to Fractional Elliptic and Parabolic Equations

Fractal and Fractional
The averaging effect is a distinctive property possessed by fractional operators. In recent years, it has emerged as a powerful tool in the study of qualitative properties of solutions to fractional elliptic and parabolic equations.
Wenxiong Chen, Yahong Guo
doaj   +1 more source

Optimal transport and control of active drops. [PDF]

Proc Natl Acad Sci U S A, 2022
Shankar S, Raju V, Mahadevan L.
europepmc   +1 more source

Recursions of Symmetry Orbits and Reduction without Reduction

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA ...
Andrei A. Malykh, Mikhail B. Sheftel
doaj   +1 more source

Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme. [PDF]

Sci Rep, 2023
Vidal A, Wu Fung S, Tenorio L, Osher S, Nurbekyan L.   +4 more
europepmc   +1 more source

Information Processing in the Brain as Optimal Entropy Transport: A Theoretical Approach. [PDF]

Entropy (Basel), 2020
Islas C, Padilla P, Prado MA.
europepmc   +1 more source

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]

Calc Var Partial Differ Equ, 2021
Guerra A, Koch L, Lindberg S.
europepmc   +1 more source

Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]

Proc Math Phys Eng Sci, 2020
Berjawi S, Ferapontov EV, Kruglikov B, Novikov V.   +3 more
europepmc   +1 more source