512 research outputs found
Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations
The paper examines the existence of pseudo almost periodic solutions to some
classes of partial hyperbolic evolution equations. Namely, sufficient
conditions for the existence and uniqueness of pseudo almost periodic solutions
to those classes of hyperbolic evolution equations are given. Applications
include the existence of pseudo almost periodic solutions to the transport and
heat equations with delay.Comment: 12 page
Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato
We prove that the algebraic sum of unbounded normal operators satisfies the
square root problem of Kato under appropriate hypotheses. As application, we
consider perturbed Schrodinger operators.Comment: 9 page
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