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Characterizations of Curvature positivity of Riemannian vector bundles and convexity or pesudoconvexity of bounded domains in Rn or Cn in terms of L2-estimate of d of ∂¯ equation

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109184 ◽

2021 ◽

pp. 109184

Author(s):

Fusheng Deng ◽

Xujun Zhang

Keyword(s):

Vector Bundles ◽

Bounded Domains ◽

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A converse of Hörmander’s L2-estimate and new positivity notions for vector bundles

Science China Mathematics ◽

10.1007/s11425-019-1654-9 ◽

2020 ◽

Author(s):

Genki Hosono ◽

Takahiro Inayama

Keyword(s):

Vector Bundles ◽

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L2 Estimate for Components of Linearly Elastic Displacement

Encyclopedia of Continuum Mechanics ◽

10.1007/978-3-662-55771-6_300364 ◽

2020 ◽

pp. 1424-1424

Keyword(s):

Elastic Displacement ◽

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A Weighted L2-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds

Canadian Journal of Mathematics ◽

10.4153/cjm-2007-040-1 ◽

2007 ◽

Vol 59 (5) ◽

pp. 943-965 ◽

Author(s):

Felix Finster ◽

Margarita Kraus

Keyword(s):

Dirac Operator ◽

Scalar Curvature ◽

Spin Manifold ◽

Lowest Eigenvalue ◽

AbstractWe derive a weighted L2-estimate of theWitten spinor in a complete Riemannian spin manifold (Mn, g) of non-negative scalar curvature which is asymptotically Schwarzschild. The interior geometry of M enters this estimate only via the lowest eigenvalue of the square of the Dirac operator on a conformal compactification of M.

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A sharp weighted L2-estimate for the solution to the time-dependent Schrödinger equation

Arkiv för matematik ◽

10.1007/bf02412222 ◽

1999 ◽

Vol 37 (2) ◽

pp. 381-393 ◽

Author(s):

Björn G. Walther

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Time Dependent ◽

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A counterexample to the L2 estimate $$\left\| {XYu} \right\| \leqq C\left( {\left\| {X^k u} \right\| + \left\| {Y^k u} \right\| + \left\| u \right\|} \right)$$

Mathematische Annalen ◽

10.1007/bf01446286 ◽

1996 ◽

Vol 304 (1) ◽

pp. 93-98

Author(s):

Jaros?aw Wr�blewski

Keyword(s):

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A Weighted L2-Estimate for the Green-Faddeev Function for the Laplace Operator in R2

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1427 ◽

1994 ◽

Vol 188 (1) ◽

pp. 275-285

Author(s):

M. Ikehata

Keyword(s):

Laplace Operator ◽

The Laplace Operator ◽

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