1 citations · 2 across the 5 of their papers we have counts for
5 papers
Parallel Physics-Informed Neural Networks with Bidirectional Balance
Yuhao Huang
As an emerging technology in deep learning, physics-informed neural networks (PINNs) have been widely used to solve various partial differential equations (PDEs) in engineering. Ho…
Large time behavior of solutions for a Cauchy problem on nonlinear conservation laws with large initial data in the whole space
Lingyu Jin, Lang Li, Shaomei Fang
We consider the Cauchy problem on a nonlinear conversation law with large initial data. By Green's function methods, energy methods, Fourier analysis, frequency decomposition, pseu…
The Brezis-Nirenberg Result for the Fractional Elliptic Problem with Singular Potential
Lingyu Jin, Lang Li, Shaomei Fang
In this paper, we are concerned with the following type of fractional problems: $$ \begin{cases}\dis (-Δ)^{s} u-μ\frac{u}{|x|^{2s}}-λu=|u|^{2^*_{s}-2}u+f(x,u), &\text{in} Ω,\ \ \,…
A Global Compact Result for a Fractional Elliptic Problem with Critical Sobolev-Hardy Nonlinearities on
Lingyu Jin, Shaomei Fang
In this paper, we are concerned with the following type of elliptic problems: where…
The global existence and time-decay for the solution of the fractional pseudo-parabolic equation
Lingyu Jin, Lang Li, Shaomei Fang
We consider the Cauchy problem of fractional pseudo-parabolic equation on the whole space . Here, the fractional order is related to the diffusion-type source term…