4 papers
Sharp Lifespan Dichotomies and Threshold Phenomena for Semilinear Heat Equations Driven by the Logarithmic Laplacian
Huyuan Chen, Rui Chen, Daniel Hauer +1
We study nonnegative mild solutions of \[ \partial_tu+(-Î)^{\ln}u=f(u) \qquad \text{in }(0,T)\times\mathbb R^N, \] with initial datum \(u(0,\cdot)=μu_0\), \(μ>0\). Unlike the cl…
Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model
Huyuan Chen, Jialei Jiang, Jun Wang
The objective of our paper is to investigate fractional elliptic equations of the form within a bounded domain , subject to zero Dirichlet bounda…
On the Fermat-type partial differential-difference equations on
Tingbin Cao, Jun Wang, Zhuan Ye
Assume that is a positive integer, ( are polynomials, is an irreducible polynomial, and is an entire function on Let $ L(f)…
On uniqueness of functions in the extended Selberg class with moving targets
Jun Wang, Qiongyan Wang, Xiao Yao
We study the question of when two functions L_1,L_2 in the extended Selberg class are identical in terms of the zeros of L_i-h(i=1,2). Here, the meromorphic function h is called mo…