On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities

Thomas Krainer

doi:10.1002/mana.201010074

On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities

Mathematische Nachrichten ◽

10.1002/mana.201010074 ◽

2010 ◽

Vol 283 (12) ◽

pp. 1680-1695 ◽

Cited By ~ 1

Author(s):

Thomas Krainer

Keyword(s):

Elliptic Operators ◽

Conical Singularities ◽

Manifolds With Conical Singularities ◽

Generalized Eigenfunctions

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Operators on manifolds with conical singularities

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-010-0002-5 ◽

2010 ◽

Vol 1 (1) ◽

pp. 55-74 ◽

Cited By ~ 4

Author(s):

L. Ma ◽

B.-W. Schulze

Keyword(s):

Conical Singularities ◽

Manifolds With Conical Singularities

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Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-018-9607-5 ◽

2018 ◽

Vol 25 (3) ◽

pp. 1147-1202 ◽

Cited By ~ 1

Author(s):

Pedro T. P. Lopes ◽

Elmar Schrohe

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Conical Singularities ◽

Spectral Invariance ◽

Manifolds With Conical Singularities ◽

Pseudodifferential Boundary

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Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities

Communications in Partial Differential Equations ◽

10.1080/03605302.2018.1517788 ◽

2018 ◽

Vol 43 (10) ◽

pp. 1456-1484 ◽

Cited By ~ 1

Author(s):

Nikolaos Roidos ◽

Elmar Schrohe

Keyword(s):

Porous Medium ◽

Porous Medium Equation ◽

Conical Singularities ◽

Medium Equation ◽

Long Time Existence ◽

Long Time ◽

Manifolds With Conical Singularities ◽

Time Existence

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Riemannian Manifolds with Conical Singularities

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181071789 ◽

1998 ◽

Vol 28 (2) ◽

pp. 625-641 ◽

Cited By ~ 1

Author(s):

Zhong-Dong Liu ◽

Zhongmin Shen ◽

Dagang Yang

Keyword(s):

Riemannian Manifolds ◽

Conical Singularities ◽

Manifolds With Conical Singularities

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Existence and maximalLp-regularity of solutions for the porous medium equation on manifolds with conical singularities

Communications in Partial Differential Equations ◽

10.1080/03605302.2016.1219745 ◽

2016 ◽

Vol 41 (9) ◽

pp. 1441-1471 ◽

Cited By ~ 10

Author(s):

Nikolaos Roidos ◽

Elmar Schrohe

Keyword(s):

Porous Medium ◽

Porous Medium Equation ◽

Regularity Of Solutions ◽

Conical Singularities ◽

Medium Equation ◽

Manifolds With Conical Singularities

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The index of Fourier integral operators on manifolds with conical singularities

Izvestiya Mathematics ◽

10.1070/im2001v065n02abeh000329 ◽

2001 ◽

Vol 65 (2) ◽

pp. 329-355

Author(s):

Vladimir E Nazaikinskii ◽

B-W Schulze ◽

B Yu Sternin

Keyword(s):

Integral Operators ◽

Fourier Integral ◽

Fourier Integral Operators ◽

Conical Singularities ◽

Manifolds With Conical Singularities

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Operators on manifolds with conical singularities

Crack Theory and Edge Singularities ◽

10.1007/978-94-017-0323-9_2 ◽

2003 ◽

pp. 83-191

Author(s):

David Kapanadze ◽

B.-Wolfgang Schulze

Keyword(s):

Conical Singularities ◽

Manifolds With Conical Singularities

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Perelman’s $W$-functional on manifolds with conical singularities

Mathematical Research Letters ◽

10.4310/mrl.2020.v27.n3.a3 ◽

2020 ◽

Vol 27 (3) ◽

pp. 665-685

Author(s):

Xianzhe Dai ◽

Changliang Wang

Keyword(s):

Conical Singularities ◽

Manifolds With Conical Singularities

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On ⍦- and C-algebras of pseudodifferential operators on manifolds with conical singularities

Banach Algebras 97 ◽

10.1515/9783110802009.303 ◽

2012 ◽

Author(s):

Robert Lauter

Keyword(s):

Pseudodifferential Operators ◽

Conical Singularities ◽

C Algebras ◽

Manifolds With Conical Singularities

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2. Operators on Manifolds with Conical Singularities

Pseudo-Differential Operators on Manifolds with Singularities - Studies in Mathematics and Its Applications ◽

10.1016/s0168-2024(08)70160-7 ◽

1991 ◽

pp. 135-265

Keyword(s):

Conical Singularities ◽

Manifolds With Conical Singularities

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On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities

Operators on manifolds with conical singularities

Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities

Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities

Riemannian Manifolds with Conical Singularities

Existence and maximalLp-regularity of solutions for the porous medium equation on manifolds with conical singularities

The index of Fourier integral operators on manifolds with conical singularities

Operators on manifolds with conical singularities

Perelman’s $W$-functional on manifolds with conical singularities

On ⍦*- and C*-algebras of pseudodifferential operators on manifolds with conical singularities

2. Operators on Manifolds with Conical Singularities

On ⍦- and C-algebras of pseudodifferential operators on manifolds with conical singularities