16 citations · 54 across the 11 of their papers we have counts for
11 papers
Explicit lower bound of blow-up time in a fully parabolic attraction-repulsion chemotaxis system with nonlinear terms
Minh Le, Zhengfang Zhou
It is known that for the parabolic-elliptic Keller-Segel type system in a smooth bounded domain in 3-dimensional space, the lower bound of a blow-up time of unbounded solution is g…
The Monotonicity Principle for Magnetic Induction Tomography
Antonello Tamburrino, Gianpaolo Piscitelli, Zhengfang Zhou
The inverse problem treated in this article consists in reconstructing the electrical conductivity from the free response of the system in the magneto-quasi-stationary (MQS) limit.…
Prevention of blowup via Neumann heat kernel
Xin Yang, Zhengfang Zhou
Consider the heat equation on a bounded domain in with any positive initial data. If a superlinear radiation law $\frac{\partial u}{\…
Lattice and Continuum Models Analysis of the Aggregation Diffusion Cell Movement
Lianzhang Bao, Zhengfang Zhou
The process by which one may take a discrete model of a biophysical process and construct a continuous model based on it is of mathematical interest as well as being of practical u…
Lifespan estimates via Neumann heat kernel
Xin Yang, Zhengfang Zhou
This paper studies the lower bound of the lifespan for the heat equation in a bounded domain with positive initial data a…
Improvements on lower bounds for the blow-up time under local nonlinear Neumann conditions
Xin Yang, Zhengfang Zhou
This paper studies the heat equation in a bounded domain with positive initial data and a local nonlinear Neumann boundary condition: the…
Lower bounds for the blow-up time of the heat equation in convex domains with local nonlinear boundary conditions
Xin Yang, Zhengfang Zhou
This paper studies the lower bound for the blow-up time of the heat equation in a bounded convex domain in with positive initial data…
Revisit to Fritz John's paper on the blow-up of nonlinear wave equations
Xin Yang, Zhengfang Zhou
In Fritz John's famous paper (1979), he discovered that for the wave equation , where and denoting the d'Alembertian, there is no global solut…
Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition
Xin Yang, Zhengfang Zhou
This paper estimates the blow-up time for the heat equation with a local nonlinear Neumann boundary condition: The normal derivative on $Γ_{1…
Necessary and sufficient conditions to perform Spectral Tetris
Peter Casazza, Andreas Heinecke, Keri Kornelson +2
Spectral Tetris has proved to be a powerful tool for constructing sparse equal norm Hilbert space frames. We introduce a new form of Spectral Tetris which works for non-equal norm…
Spectral Tetris Fusion Frame Constructions
Peter G. Casazza, Matthew Fickus, Andreas Heinecke +2
Spectral tetris is a fexible and elementary method to construct unit norm frames with a given frame operator, having all of its eigenvalues greater than or equal to two. One import…