8 citations · 19 across the 6 of their papers we have counts for
7 papers
A Delayed Yule Process
Radu Dascaliuc, Nicholas Michalowski, Enrique Thomann +1
In now classic work, David Kendall (1966) recognized that the Yule process and Poisson process could be related by a (random) time change. Furthermore, he showed that the Yule popu…
Symmetry Breaking and Uniqueness for the Incompressible Navier-Stokes Equations
Radu Dascaliuc, Nicholas Michalowski, Enrique Thomann +1
The present article establishes connections between the structure of the deterministic Navier-Stokes equations and the structure of (similarity) equations that govern self-similar…
A Short Proof of Increased Parabolic Regularity
Stephen Pankavich, Nicholas Michalowski
We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, o…
Quasilinear Schrödinger Equations
Nicholas P. Michalowski
In this paper we prove local well-posedness for Quasi-linear Scrhödinger equations with initial data in unweighted Sobolev Spaces. For small initial data with minimal smoothness th…
Global Existence for the "One and one-half" dimensional relativistic Vlasov-Maxwell-Fokker-Planck system
Stephen Pankavich, Nicholas Michalowski
In a recent paper Calogero and Alcantara derived a Lorentz-invariant Fokker-Planck equation, which corresponds to the evolution of a particle distribution associated with relativis…
Multilinear pseudodifferential operators beyond Calderón-Zygmund theory
Nicholas Michalowski, David J. Rule, Wolfgang Staubach
We consider two types of multilinear pseudodifferential operators. First, we prove the boundedness of multilinear pseudodifferential operators with symbols which are only measurabl…
A Class of Markov Chains with no Spectral Gap
Yevgeniy Kovchegov, Nicholas Michalowski
In this paper we extend the results of the research started by the first author, in which Karlin-McGregor diagonalization of certain reversible Markov chains over countably infinit…