Fundamental solution of a dissipative operator.
Fundamental solution of a dissipative operator.
Summary: The fundamental solution \(K\) of a third-order operator \(L_\varepsilon\) is explicitly determined and various properties of \(K\) are analyzed. As an example of applications, the explicit solution of the initial-valued problem with arbitrary data is deduced. The operator \(L_\varepsilon\) models numerous dissipative phenomena, and the properties of \(K\) imply precise estimates also for nonlinear situations.
Superconductivity, superconductivity, Integral representations of solutions to PDEs, Partial differential equation, Viscoelasticity, Fundamental solutions to PDEs, Partial differential equation; Viscoelasticity; Superconductivity, third-order operator, viscoelasticity
Superconductivity, superconductivity, Integral representations of solutions to PDEs, Partial differential equation, Viscoelasticity, Fundamental solutions to PDEs, Partial differential equation; Viscoelasticity; Superconductivity, third-order operator, viscoelasticity
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!