Note on the existence theory for non‐induced evolution equations
Abstract: In this note, we develop a framework which allows to prove an abstract existence result for non-linear evolution equations involving so-called non-induced operators, i.e., operators which are not prescribed by a time-dependent family of operators. Apart from this, we introduce the notion of C0-Bochner pseudo-monotonicity and C0-Bochner coercivity, which are appropriate adaptions of the standard notion to the framework of evolutionary problems
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Mathematische Nachrichten. - 295, 6 (2022) , 1186-1210, ISSN: 1522-2616
- Classification
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Mathematik
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2022
- Creator
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Kaltenbach, Alex
- DOI
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10.1002/mana.201900555
- URN
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urn:nbn:de:bsz:25-freidok-2280107
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:32 AM CEST
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Associated
- Kaltenbach, Alex
- Universität
Time of origin
- 2022
Other Objects (12)
Note on the existence theory for non‐induced evolution equations
Note on the existence theory for pseudo-monotone evolution problems
Note on the existence theory for pseudo-monotone evolution problems
Existence families : functional calculi and evolution equations
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Evolution equations in ostensible metric spaces : Definitions and existence.
ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
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Evolution equations, Feshbach resonances, singular Hodge theory
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Note on the existence theory for non‐induced evolution equations
Note on the existence theory for pseudo-monotone evolution problems
Note on the existence theory for pseudo-monotone evolution problems
Existence families : functional calculi and evolution equations
Theory of fractional evolution equations
Evolution equations in ostensible metric spaces : Definitions and existence.
ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
Existence and optimal control of Hilfer fractional evolution equations
Measure theory and nonlinear evolution equations
On evolution equations and spectral theory
Evolution equations, Feshbach resonances, singular Hodge theory
Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Note on the existence theory for non‐induced evolution equations
Note on the existence theory for pseudo-monotone evolution problems
Note on the existence theory for pseudo-monotone evolution problems
Existence families : functional calculi and evolution equations
Theory of fractional evolution equations
Evolution equations in ostensible metric spaces : Definitions and existence.
ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
Existence and optimal control of Hilfer fractional evolution equations
Measure theory and nonlinear evolution equations
On evolution equations and spectral theory
Evolution equations, Feshbach resonances, singular Hodge theory