Fundamental solutions and Green functions for non-homogeneous elliptic systems
Connections for Women: Harmonic Analysis January 19, 2017 - January 20, 2017
Location: SLMath: Eisenbud Auditorium
fundamental solutions
Green functions
elliptic systems
non-homogeneous
PDE
harmonic analysis
Fundamental Solutions And Green Functions For Non-Homogeneous Elliptic Systems
In this talk, we consider non-homogeneous, second order, uniformly elliptic systems of partial differential equations. We show that, within a suitable framework, we can define the fundamental solution and the Green functions on arbitrary open subsets. Moreover, we can prove uniqueness and global estimates that are on par with those of the underlying homogeneous elliptic operator. Our results, in particular, establish the Green functions for Schrodinger, magnetic Schrodinger, and generalized Schrodinger operators with real or complex coefficients on arbitrary domains
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Fundamental Solutions And Green Functions For Non-Homogeneous Elliptic Systems
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