3 papers
math.CV2026
On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians
Bart Rosenzweig, Jonathan Stanfill
We answer in the affirmative a question posed by V. Maz'ya of whether one can continue as a meromorphic function of the series representation of the fundamental solution of a c…
math.CA2025
An elementary approach to integral inequalities involving higher order derivatives
Bart Rosenzweig, Jonathan Stanfill
Motivated by previous work leveraging factorizations of second- and fourth-order differential operators, a general integral inequality involving higher order derivatives is proven…
math.SP2025
Maximally dissipative and self-adjoint extensions of -invariant operators
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill
We introduce the notion of -invariant operators, , (in a Hilbert space) with respect to a bounded and boundedly invertible operator defined via . Conditions such…