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2
نتائج ل
"Partial differential equations -- Parabolic equations and systems -- Heat equation. msc"
صنف حسب:
Tunneling estimates and approximate controllability for hypoelliptic equations
بواسطة
Laurent, Camille
,
Léautaud, Matthieu
في
Differential equations, Hypoelliptic
,
Partial differential equations -- Close-to-elliptic equations and systems -- Hypoelliptic equations. msc
,
Partial differential equations -- Hyperbolic equations and systems -- Wave equation. msc
2022
This memoir is concerned with quantitative unique continuation estimates for equations involving a “sum of squares” operator
The first result is the tunneling estimate
The main
result is a stability estimate for solutions to the hypoelliptic wave equation
We then prove the approximate controllability of the
hypoelliptic heat equation
We also explain how the analyticity
assumption can be relaxed, and a boundary
Most results turn out to be optimal on a family of Grushin-type operators.
The main proof relies on the
general strategy to produce quantitative unique continuation estimates, developed by the authors in Laurent-Léautaud (2019).
eBook
The Yang-Mills heat equation with finite action in three dimensions
بواسطة
Gross, Leonard
في
Gauge fields (Physics)
,
Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Heat and other parabolic equation methods. msc
,
Heat equation
2022
The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over
eBook