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The Allegretto-Piepenbrink Theorem for Strongly Local Dirichlet Forms
- DOCUMENTA MATH.
, 2009
"... The existence of positive weak solutions is related to spectral information on the corresponding partial differential operator. ..."
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Cited by 4 (3 self)
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The existence of positive weak solutions is related to spectral information on the corresponding partial differential operator.
A Green function and regularity results for an ultraparabolic equation with a singular potential
- Adv. in Diff. Eq
"... Abstract. We prove a Harnack inequality for the positive solutions of a Schrödinger type equation L0 u + V u = 0, where L0 is an operator satisfying the Hörmander’s condition and V belongs to a class of functions of Stummel-Kato type. We also obtain the existence of a Green function and an uniquenes ..."
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Cited by 2 (2 self)
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Abstract. We prove a Harnack inequality for the positive solutions of a Schrödinger type equation L0 u + V u = 0, where L0 is an operator satisfying the Hörmander’s condition and V belongs to a class of functions of Stummel-Kato type. We also obtain the existence of a Green function and an uniqueness result for the Cauchy-Dirichlet problem. 1.
I.: Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
"... Abstract. We present an introduction to the framework of strongly local Dirichlet forms and discuss connections between the existence of certain generalized eigenfunctions and spectral properties within this framework. The range of applications is illustrated by a list of examples. ..."
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Cited by 2 (2 self)
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Abstract. We present an introduction to the framework of strongly local Dirichlet forms and discuss connections between the existence of certain generalized eigenfunctions and spectral properties within this framework. The range of applications is illustrated by a list of examples.
for Strongly Local Dirichlet Forms Dedicated to Jürgen Voigt in celebration of his 65th birthday
, 2008
"... Communicated by Heinz Siedentop Abstract. The existence of positive weak solutions is related to spectral information on the corresponding partial differential operator. 2000 Mathematics Subject Classification: 35P05, 81Q10 ..."
Abstract
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Communicated by Heinz Siedentop Abstract. The existence of positive weak solutions is related to spectral information on the corresponding partial differential operator. 2000 Mathematics Subject Classification: 35P05, 81Q10
