1 citations · 1 across the 10 of their papers we have counts for
10 papers
Analytic solutions for the approximated Kantorovich mass transfer problems by -Laplacian approach
Yanhua Wu, Xiaojun Lu
This manuscript discusses the approximation of a global maximizer of the Kantorovich mass transfer problem through the approach of -Laplacian equation. Using an approximation me…
Well-posedness for the Cauchy problem of spatially weighted dissipative equation
Ziheng Tu, Xiaojun Lu
This paper mainly investigates the Cauchy problem of the spatially weighted dissipative equation with initial data in the weighted Lebesgue space. A generalized Hankel Transform is…
Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients
Xiaojun Lu, Xiaofen Lv
This paper mainly discuss the regularity behavior of the hyperbolic magnetic Schroedinger equation with singular coefficients near the origin. We apply the techniques from the micr…
Analytic solutions for the approximated 1-D Kantorovich mass transfer problems
Xiaojun Lu, Xiaofen Lv
This paper mainly investigates the approximation of a global maximizer of the 1-D Monge-Kantorovich mass transfer problem through the approach of nonlinear differential equations w…
Analytic solutions for the approximation of -Laplacian problem
Xiaojun Lu, Xiaofen Lv
This paper mainly investigates the analytic solutions for the approximation of -Laplacian problem. Through an approximation mechanism, we convert the nonlinear partial different…
A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient
Xiaojun Lu, Xiaofen Lv
This paper mainly addresses the strong unique continuation property for the electromagnetic Schrödinger operator with complex-valued coefficients. Appropriate multipliers with phys…
An approximation method for the optimization of -th moment of -valued random variable
Xiaojun Lu, Yanhua Wu
This paper mainly addresses the optimization of -th moment of -valued random variable. Through an ingenious approximation mechanism, one transforms the maximizatio…
Canonical duality approach in the approximation of optimal Monge mass transfer mapping
Yanhua Wu, Xiaojun Lu
This paper mainly addresses the Monge mass transfer problem in the 1-D case. Through an ingenious approximation mechanism, one transforms the Monge problem into a sequence of minim…
Multiple nonsmooth solutions for nonconvex variational boundary value problems in
Xiaojun Lu, David Yang Gao
This paper presents a set of complete solutions of a nonconvex variational problem with a double-well potential. Based on the canonical duality-triality theory, the associated nonl…
On the extrema of a nonconvex functional with double-well potential in higher dimensions
Xiaojun Lu, David Yang Gao
This paper mainly addresses the extrema of a nonconvex functional with double-well potential in higher dimensions through the approach of nonlinear partial differential equations.…