## Jacob, Niels

Compute Distance To:
 Author ID: jacob.niels Published as: Jacob, Niels; Jacob, N. External Links: MGP · GND · IdRef
 Documents Indexed: 98 Publications since 1980, including 11 Books 4 Contributions as Editor Reviewing Activity: 227 Reviews Co-Authors: 35 Co-Authors with 69 Joint Publications 544 Co-Co-Authors
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### Co-Authors

 31 single-authored 14 Evans, Kristian P. 13 Schilling, René Leander 9 Hoh, Walter 5 Doppel, Karl 5 Potrykus, Alexander 4 Yuan, Chenggui 3 Farkas, Walter 3 Takeda, Masayoshi 2 Chen, Zhen-Qing 2 Fukushima, Masatoshi 2 Hu, Ke 2 Knopova, Victoria Pavlovna 2 Krägeloh, Alexander M. 2 Moroz, Vitaly 2 Schicks, Markus 2 Truman, Aubrey 2 Uemura, Toshihiro 2 Wang, Yongtian 2 Wu, Jianglun 1 Bauer, Heinz 1 Böttcher, Björn 1 Chatterji, Srishti Dhar 1 Davies, Ian M. 1 Fry, Huw T. 1 Hassan, Oubay 1 Heyer, Herbert 1 Kaneko, Hiroshi 1 Landwehr, Sandra 1 Leopold, Hans-Gerd 1 Morris, Owen C. 1 Netuka, Ivan 1 Oshima, Yoichi 1 Rhind, Elian O. T. 1 Schomburg, Bernd 1 Shen, Chenglin 1 Tokarev, A. G. 1 Weatherill, Nigel P.
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### Serials

 6 Mathematische Nachrichten 5 Fractional Calculus & Applied Analysis 4 Forum Mathematicum 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 Zeitschrift für Analysis und ihre Anwendungen 3 Expositiones Mathematicae 3 Potential Analysis 2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 2 Revista Matemática Iberoamericana 2 Aequationes Mathematicae 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Revista Matemática Complutense 1 Applicable Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Colloquium Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Mathematika 1 Osaka Journal of Mathematics 1 Publicationes Mathematicae Debrecen 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Journal of the Australian Mathematical Society. Series A 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Positivity 1 Acta Mathematica Sinica. English Series 1 Journal of Evolution Equations 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Interdisciplinary Mathematical Sciences 1 Science China. Mathematics 1 Mathematical Research
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### Fields

 66 Partial differential equations (35-XX) 56 Probability theory and stochastic processes (60-XX) 50 Operator theory (47-XX) 35 Potential theory (31-XX) 14 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-XX) 3 History and biography (01-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 824 times in 490 Documents Cited by Year
Pseudo differential operators and Markov processes. In 3 vol. Vol. 1: Fourier analysis and semigroups. Zbl 0987.60003
Jacob, Niels
2001
Pseudo-differential operators and Markov processes. Vol. II: Generators and their potential theory. Zbl 1005.60004
Jacob, N.
2002
Pseudo differential operators and Markov processes. Vol III: Markov processes and applications. Zbl 1076.60003
Jacob, Niels
2005
Pseudodifferential operators with variable order of differentiation generating Feller semigroups. Zbl 0793.35139
Jacob, Niels; Leopold, Hans-Gerd
1993
Pseudo-differential operators and Markov processes. Zbl 0860.60002
Jacob, Niels
1996
Function spaces related to continuous negative definite functions: $$\psi$$-Bessel potential spaces. Zbl 0990.46018
Farkas, Walter; Jacob, Niels; Schilling, René L.
2001
Further classes of pseudo-differential operators applicable to modelling in finance and turbulence. Zbl 1077.47053
Jacob, Niels; Truman, Aubrey
2003
Lévy-type processes and pseudodifferential operators. Zbl 0984.60054
Jacob, Niels; Schilling, René L.
2001
Feller semigroups obtained by variable order subordination. Zbl 1153.47033
Evans, Kristian P.; Jacob, Niels
2007
A class of Feller semigroups generated by pseudodifferential operators. Zbl 0795.35154
Jacob, Niels
1994
On the Dirichlet problem for pseudodifferential operators generating Feller semigroups. Zbl 0901.47027
Hoh, Walter; Jacob, Niels
1996
Stochastic differential delay equations with jumps, under nonlinear growth condition. Zbl 1191.60081
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
2009
A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097
Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L.
2012
Characteristic functions and symbols in the theory of Feller processes. Zbl 0908.60041
Jacob, Niels
1998
Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions. Zbl 0980.31005
Farkas, Walter; Jacob, Niels
2001
Numerical solutions of stochastic differential delay equations with jumps. Zbl 1168.60356
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
2009
Further pseudodifferential operators generating Feller semigroups and Dirichlet forms. Zbl 0780.31007
Jacob, Niels
1993
Feller semigroup, $$L^p$$-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031
Farkas, Walter; Jacob, Niels; Schilling, René L.
2001
Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011
Jacob, Niels; Schilling, René L.
1999
Feller semigroups, Dirichlet forms, and pseudo differential operators. Zbl 0759.60078
Jacob, Niels
1992
Solving a non-linear stochastic pseudo-differential equation of Burgers type. Zbl 1203.60086
Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun
2010
Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027
Jacob, Niels; Schilling, René L.
2005
Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003
Jacob, N.; Knopova, V.
2005
Some Dirichlet forms generated by pseudodifferential operators. Zbl 0769.31007
Hoh, Walter; Jacob, Niels
1992
Towards an $$L^p$$ potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007
Jacob, Niels; Schilling, René L.
2006
An analytic proof of the Lévy-Khinchin formula on $$R^n$$. Zbl 0928.42003
Jacob, Niels; Schilling, René L.
1998
Higher order eigenvalues for non-local Schrödinger operators. Zbl 1373.35210
Jacob, Niels; Wang, Feng-Yu
2018
Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008
Jacob, N.; Schilling, R. L.
2000
A non-hypoelliptic Dirichlet problem from stochastics. Zbl 0554.35020
Doppel, Karl; Jacob, Niels
1983
A class of elliptic pseudodifferential operators generating symmetric Dirichlet forms. Zbl 0784.31007
Jacob, Niels
1992
Towards an $$L^p$$-potential theory for sub-Markovian semigroups: variational inequalities and balayage theory. Zbl 1055.31006
Hoh, Walter; Jacob, Niels
2004
Dirichlet forms and pseudo differential operators. Zbl 0671.35082
Jacob, Niels
1988
On generalized Dirichlet problems. Zbl 0538.35015
Jacob, Niels
1984
Commutator estimates for pseudodifferential operators with negative definite functions as symbols. Zbl 0693.35168
Jacob, Niels
1990
A Gårding inequality for certain anisotropic pseudo differential operators with non-smooth symbols. Zbl 0725.35112
Jacob, Niels
1989
Zur Konstruktion periodischer Lösungen von Pseudodifferentialgleichungen mit Hilfe von Operatorenalgebren. Zbl 0494.35009
Doppel, Karl; Jacob, Niels
1983
On $$(r,2)$$-capacities for a class of elliptic pseudo differential operators. Zbl 0736.60070
Fukushima, M.; Jacob, N.; Kaneko, H.
1992
On Gårding’s inequality. Zbl 0635.35011
Jacob, Niels; Schomburg, Bernd
1986
Upper bounds and conservativeness for semigroups associated with classes of Dirichlet forms generated by pseudo differential operators. Zbl 0849.31014
Hoh, Walter; Jacob, Niels
1996
Remarks on Meixner-type processes. Zbl 1071.60074
Böttcher, Björn; Jacob, Niels
2003
Solving a nonlinear pseudo-differential equation of Burgers type. Zbl 1166.35389
Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun
2008
Existence and uniqueness for a class of stochastic time fractional space pseudo-differential equations. Zbl 1381.35260
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2016
The Caputo derivative, Feller semigroups, and the fractional power of the first order derivative on $$C_ \infty(\mathbb R^ +_ 0)$$. Zbl 1049.47040
Jacob, Niels; Krägeloh, Alexander M.
2002
On Dirichlet’s boundary value problem for some formally hypoelliptic differential operators. Zbl 0703.35044
Jacob, Niels
1988
Remarks on mean value properties of solutions of second order differential operators. Zbl 0755.35005
Hoh, Walter; Jacob, Niels
1991
On the potential theory of the Kolmogorov equation. Zbl 0754.31009
Hoh, Walter; Jacob, Niels
1991
On an evolution equation for a non-hypoelliptic linear partial differential operator from stochastics. Zbl 0605.35009
Doppel, K.; Jacob, N.
1984
Roth’s method applied to some pseudo-differential operators with bounded symbols. A case study. Zbl 1149.47036
Jacob, Niels; Potrykus, Alexander
2005
On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes. Zbl 1308.35321
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2012
Aspects of micro-local analysis and geometry in the study of Lévy-type generators. Zbl 1459.60105
Jacob, Niels; Rhind, Elian O. T.
2019
Pseudo differential operators, Feller semigroups and the martingale problem. Zbl 0831.35162
Hoh, Walter; Jacob, Niels
1993
Non-local (semi-) Dirichlet forms generated by pseudo differential operators. Zbl 0849.31013
Jacob, Niels
1995
Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023
Jacob, Niels; Schilling, René L.
1996
Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204
Jacob, Niels; Schilling, René L.
1996
A parameter-dependent symbolic calculus for pseudo-differential operators with negative-definite symbols. Zbl 1068.47063
Jacob, N.; Tokarev, A. G.
2004
Feller semigroups on $$C_ \infty(\mathbf R^ n\times T^ 1)$$ generated by Weyl fractional derivatives and pseudo-differential operators. Zbl 1034.60071
Jacob, Niels; Krägeloh, Alexander M.
2002
$$L^{\infty}$$-bounds for solutions of pseudo-differential boundary problems in Dirichlet spaces. Zbl 0691.35099
Jacob, Niels
1988
On a Poincaré-type inequality for energy forms in $$L^p$$. Zbl 1150.31003
Jacob, Niels; Schilling, René L.
2007
Bemerkungen über verallgemeinerte homogene lineare Dirichlet-Probleme. Zbl 0528.35041
Jacob, Niels
1980
Evans, Kristian P.; Jacob, Niels
2020
Multiparameter Markov processes: generators and associated martingales. Zbl 1224.60089
Jacob, Niels; Schicks, Markus
2010
Approximating a Feller semigroup by using the Yosida approximation of the symbol of its generator. Zbl 1120.47034
Jacob, Niels; Potrykus, Alexander
2007
Q-matrices as pseudo-differential operators with negative definite symbols. Zbl 1279.47066
Evans, Kristian; Jacob, Niels
2013
Examples of nonlocal time dependent or parabolic Dirichlet spaces. Zbl 0814.31008
Jacob, Niels
1993
An application of $$(r,2)$$-capacities to pseudo differential operators. Zbl 0831.60084
Jacob, Niels
1994
Various approaches to the Dirichlet problem for non-local operators satisfying the positive maximum principle. Zbl 0860.35154
Jacob, Niels
1996
Local regularity of solutions of a class of pseudo differential equations in Dirichlet spaces. Zbl 0817.35011
Jacob, Niels
1993
An example of a non-local, non-symmetric Dirichlet form. Zbl 0784.31008
Jacob, Niels
1993
Erratum to: “Feller semigroups obtained by variable order subordination”. Zbl 1157.47310
Evans, Kristian P.; Jacob, Niels
2009
A course in analysis. Volume II: Differentiation and integration of functions of several variables, vector calculus. Zbl 1401.26001
Jacob, Niels; Evans, Kristian P.
2016
Some Feller semigroups on $$C_{\infty}(\mathbb{R}^{n} \times \mathbb{Z}^{m})$$ generated by pseudo-differential operators. Zbl 1330.35556
Evans, Kristian P.; Jacob, Niels; Shen, Chenglin
2015
Some thoughts and investigations on densities of one-parameter operator semi-groups. Zbl 07005123
Harris, James; Jacob, Niels
2018
Evans, Kristian P.; Jacob, Niels
2020
Aspects of micro-local analysis and geometry in the study of Lévy-type generators. Zbl 1459.60105
Jacob, Niels; Rhind, Elian O. T.
2019
Higher order eigenvalues for non-local Schrödinger operators. Zbl 1373.35210
Jacob, Niels; Wang, Feng-Yu
2018
Some thoughts and investigations on densities of one-parameter operator semi-groups. Zbl 07005123
Harris, James; Jacob, Niels
2018
Existence and uniqueness for a class of stochastic time fractional space pseudo-differential equations. Zbl 1381.35260
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2016
A course in analysis. Volume II: Differentiation and integration of functions of several variables, vector calculus. Zbl 1401.26001
Jacob, Niels; Evans, Kristian P.
2016
Some Feller semigroups on $$C_{\infty}(\mathbb{R}^{n} \times \mathbb{Z}^{m})$$ generated by pseudo-differential operators. Zbl 1330.35556
Evans, Kristian P.; Jacob, Niels; Shen, Chenglin
2015
Q-matrices as pseudo-differential operators with negative definite symbols. Zbl 1279.47066
Evans, Kristian; Jacob, Niels
2013
A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097
Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L.
2012
On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes. Zbl 1308.35321
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2012
Solving a non-linear stochastic pseudo-differential equation of Burgers type. Zbl 1203.60086
Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun
2010
Multiparameter Markov processes: generators and associated martingales. Zbl 1224.60089
Jacob, Niels; Schicks, Markus
2010
Stochastic differential delay equations with jumps, under nonlinear growth condition. Zbl 1191.60081
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
2009
Numerical solutions of stochastic differential delay equations with jumps. Zbl 1168.60356
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
2009
Erratum to: “Feller semigroups obtained by variable order subordination”. Zbl 1157.47310
Evans, Kristian P.; Jacob, Niels
2009
Solving a nonlinear pseudo-differential equation of Burgers type. Zbl 1166.35389
Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun
2008
Feller semigroups obtained by variable order subordination. Zbl 1153.47033
Evans, Kristian P.; Jacob, Niels
2007
On a Poincaré-type inequality for energy forms in $$L^p$$. Zbl 1150.31003
Jacob, Niels; Schilling, René L.
2007
Approximating a Feller semigroup by using the Yosida approximation of the symbol of its generator. Zbl 1120.47034
Jacob, Niels; Potrykus, Alexander
2007
Towards an $$L^p$$ potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007
Jacob, Niels; Schilling, René L.
2006
Pseudo differential operators and Markov processes. Vol III: Markov processes and applications. Zbl 1076.60003
Jacob, Niels
2005
Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027
Jacob, Niels; Schilling, René L.
2005
Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003
Jacob, N.; Knopova, V.
2005
Roth’s method applied to some pseudo-differential operators with bounded symbols. A case study. Zbl 1149.47036
Jacob, Niels; Potrykus, Alexander
2005
Towards an $$L^p$$-potential theory for sub-Markovian semigroups: variational inequalities and balayage theory. Zbl 1055.31006
Hoh, Walter; Jacob, Niels
2004
A parameter-dependent symbolic calculus for pseudo-differential operators with negative-definite symbols. Zbl 1068.47063
Jacob, N.; Tokarev, A. G.
2004
Further classes of pseudo-differential operators applicable to modelling in finance and turbulence. Zbl 1077.47053
Jacob, Niels; Truman, Aubrey
2003
Remarks on Meixner-type processes. Zbl 1071.60074
Böttcher, Björn; Jacob, Niels
2003
Pseudo-differential operators and Markov processes. Vol. II: Generators and their potential theory. Zbl 1005.60004
Jacob, N.
2002
The Caputo derivative, Feller semigroups, and the fractional power of the first order derivative on $$C_ \infty(\mathbb R^ +_ 0)$$. Zbl 1049.47040
Jacob, Niels; Krägeloh, Alexander M.
2002
Feller semigroups on $$C_ \infty(\mathbf R^ n\times T^ 1)$$ generated by Weyl fractional derivatives and pseudo-differential operators. Zbl 1034.60071
Jacob, Niels; Krägeloh, Alexander M.
2002
Pseudo differential operators and Markov processes. In 3 vol. Vol. 1: Fourier analysis and semigroups. Zbl 0987.60003
Jacob, Niels
2001
Function spaces related to continuous negative definite functions: $$\psi$$-Bessel potential spaces. Zbl 0990.46018
Farkas, Walter; Jacob, Niels; Schilling, René L.
2001
Lévy-type processes and pseudodifferential operators. Zbl 0984.60054
Jacob, Niels; Schilling, René L.
2001
Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions. Zbl 0980.31005
Farkas, Walter; Jacob, Niels
2001
Feller semigroup, $$L^p$$-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031
Farkas, Walter; Jacob, Niels; Schilling, René L.
2001
Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008
Jacob, N.; Schilling, R. L.
2000
Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011
Jacob, Niels; Schilling, René L.
1999
Characteristic functions and symbols in the theory of Feller processes. Zbl 0908.60041
Jacob, Niels
1998
An analytic proof of the Lévy-Khinchin formula on $$R^n$$. Zbl 0928.42003
Jacob, Niels; Schilling, René L.
1998
Pseudo-differential operators and Markov processes. Zbl 0860.60002
Jacob, Niels
1996
On the Dirichlet problem for pseudodifferential operators generating Feller semigroups. Zbl 0901.47027
Hoh, Walter; Jacob, Niels
1996
Upper bounds and conservativeness for semigroups associated with classes of Dirichlet forms generated by pseudo differential operators. Zbl 0849.31014
Hoh, Walter; Jacob, Niels
1996
Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023
Jacob, Niels; Schilling, René L.
1996
Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204
Jacob, Niels; Schilling, René L.
1996
Various approaches to the Dirichlet problem for non-local operators satisfying the positive maximum principle. Zbl 0860.35154
Jacob, Niels
1996
Non-local (semi-) Dirichlet forms generated by pseudo differential operators. Zbl 0849.31013
Jacob, Niels
1995
A class of Feller semigroups generated by pseudodifferential operators. Zbl 0795.35154
Jacob, Niels
1994
An application of $$(r,2)$$-capacities to pseudo differential operators. Zbl 0831.60084
Jacob, Niels
1994
Pseudodifferential operators with variable order of differentiation generating Feller semigroups. Zbl 0793.35139
Jacob, Niels; Leopold, Hans-Gerd
1993
Further pseudodifferential operators generating Feller semigroups and Dirichlet forms. Zbl 0780.31007
Jacob, Niels
1993
Pseudo differential operators, Feller semigroups and the martingale problem. Zbl 0831.35162
Hoh, Walter; Jacob, Niels
1993
Examples of nonlocal time dependent or parabolic Dirichlet spaces. Zbl 0814.31008
Jacob, Niels
1993
Local regularity of solutions of a class of pseudo differential equations in Dirichlet spaces. Zbl 0817.35011
Jacob, Niels
1993
An example of a non-local, non-symmetric Dirichlet form. Zbl 0784.31008
Jacob, Niels
1993
Feller semigroups, Dirichlet forms, and pseudo differential operators. Zbl 0759.60078
Jacob, Niels
1992
Some Dirichlet forms generated by pseudodifferential operators. Zbl 0769.31007
Hoh, Walter; Jacob, Niels
1992
A class of elliptic pseudodifferential operators generating symmetric Dirichlet forms. Zbl 0784.31007
Jacob, Niels
1992
On $$(r,2)$$-capacities for a class of elliptic pseudo differential operators. Zbl 0736.60070
Fukushima, M.; Jacob, N.; Kaneko, H.
1992
Remarks on mean value properties of solutions of second order differential operators. Zbl 0755.35005
Hoh, Walter; Jacob, Niels
1991
On the potential theory of the Kolmogorov equation. Zbl 0754.31009
Hoh, Walter; Jacob, Niels
1991
Commutator estimates for pseudodifferential operators with negative definite functions as symbols. Zbl 0693.35168
Jacob, Niels
1990
A Gårding inequality for certain anisotropic pseudo differential operators with non-smooth symbols. Zbl 0725.35112
Jacob, Niels
1989
Dirichlet forms and pseudo differential operators. Zbl 0671.35082
Jacob, Niels
1988
On Dirichlet’s boundary value problem for some formally hypoelliptic differential operators. Zbl 0703.35044
Jacob, Niels
1988
$$L^{\infty}$$-bounds for solutions of pseudo-differential boundary problems in Dirichlet spaces. Zbl 0691.35099
Jacob, Niels
1988
On Gårding’s inequality. Zbl 0635.35011
Jacob, Niels; Schomburg, Bernd
1986
On generalized Dirichlet problems. Zbl 0538.35015
Jacob, Niels
1984
On an evolution equation for a non-hypoelliptic linear partial differential operator from stochastics. Zbl 0605.35009
Doppel, K.; Jacob, N.
1984
A non-hypoelliptic Dirichlet problem from stochastics. Zbl 0554.35020
Doppel, Karl; Jacob, Niels
1983
Zur Konstruktion periodischer Lösungen von Pseudodifferentialgleichungen mit Hilfe von Operatorenalgebren. Zbl 0494.35009
Doppel, Karl; Jacob, Niels
1983
Bemerkungen über verallgemeinerte homogene lineare Dirichlet-Probleme. Zbl 0528.35041
Jacob, Niels
1980
all top 5

### Cited by 520 Authors

 28 Jacob, Niels 28 Schilling, René Leander 14 Anh, Vo V. 13 Wang, Jian 12 Bogdan, Krzysztof 12 Liu, Fawang 12 Meerschaert, Mark Marvin 12 Sztonyk, Paweł 10 Kaleta, Kamil 10 Levendorskiĭ, Sergeĭ Zakharovich 8 Kinderknecht, Yana A. 8 Knopova, Victoria Pavlovna 8 Kühn, Franziska 8 Song, Renming 8 Turner, Ian William 7 Nane, Erkan 7 Ruiz-Medina, María Dolores 7 Sandrić, Nikola 7 Wu, Jianglun 7 Yuan, Chenggui 6 Böttcher, Björn 6 Chen, Changming 6 Chen, Zhen-Qing 6 Schnurr, Alexander 6 Smolyanov, Oleg Georgievich 6 Vondraček, Zoran 6 Yu, Yanghai 5 Angulo, José Miguel 5 Bäumer, Boris 5 Evans, Kristian P. 5 Grzywny, Tomasz 5 Kaneko, Hiroshi 5 Kaßmann, Moritz 5 Kudryavtsev, Oleg 5 Milošević, Marija 5 Pietruska-Pałuba, Katarzyna 5 Röckner, Michael 5 Szczypkowski, Karol 4 Albeverio, Sergio A. 4 Fageot, Julien 4 Grubb, Gerd 4 Hausenblas, Erika 4 Jakubowski, Tomasz 4 Karch, Grzegorz 4 Khoshnevisan, Davar 4 Kovács, Mihály 4 Liu, Junfeng 4 Ma, Zhi-Ming 4 Mikulevicius, Remigijus 4 Schwab, Christoph 4 Tang, Yanbin 4 Toaldo, Bruno 4 Torresblanca-Badillo, Anselmo 4 Uemura, Toshihiro 3 Applebaum, David B. 3 Bass, Richard F. 3 Burrage, Kevin 3 Fahrenwaldt, Matthias Albrecht 3 Farkas, Walter 3 Glau, Kathrin 3 Guan, Qing-Yang 3 Hu, Ze-Chun 3 Kim, Ildoo 3 Kim, KyeongHun 3 Kim, Panki 3 Kulik, Alexey M. 3 Kwaśnicki, Mateusz 3 Leopold, Hans-Gerd 3 Li, Jinlu 3 Li, Lingfei 3 Menozzi, Stéphane 3 Patie, Pierre 3 Phonsom, C. 3 Potrykus, Alexander 3 Reich, Nils 3 Saloff-Coste, Laurent 3 Savov, Mladen Svetoslavov 3 Scheffler, Hans-Peter 3 Sun, Wei 3 Tudor, Ciprian A. 3 Umarov, Sabir R. 3 Unser, Michael A. 3 Wang, Feng-Yu 3 Warma, Mahamadi 3 Woyczynski, Wojbor A. 3 Wu, Fuke 3 Zähle, Martina 3 Zhai, Jianliang 3 Zhang, Xicheng 2 Abels, Helmut 2 Băleanu, Dumitru I. 2 Bao, Jianhai 2 Behme, Anita Diana 2 Bendikov, Alexander D. 2 Bennett, Jonathan 2 Biler, Piotr 2 Bogachev, Vladimir Igorevich 2 Caetano, António M. 2 Chamorro, Diego 2 de Innocentis, Marco ...and 420 more Authors
all top 5

### Cited in 170 Serials

 29 Potential Analysis 19 Stochastic Processes and their Applications 17 Journal of Functional Analysis 14 Journal of Theoretical Probability 14 Fractional Calculus & Applied Analysis 13 Mathematische Nachrichten 12 Journal of Mathematical Analysis and Applications 10 Applied Mathematics and Computation 10 Bernoulli 9 Integral Equations and Operator Theory 9 Journal of Computational and Applied Mathematics 9 Transactions of the American Mathematical Society 9 Journal of Evolution Equations 8 Journal of Differential Equations 8 Probability Theory and Related Fields 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Electronic Journal of Probability 7 Computers & Mathematics with Applications 7 Stochastic Analysis and Applications 6 Mathematische Zeitschrift 6 Finance and Stochastics 5 Journal of Statistical Physics 5 The Annals of Probability 5 Discrete and Continuous Dynamical Systems 5 Stochastics and Dynamics 4 Communications in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Proceedings of the American Mathematical Society 4 Probability and Mathematical Statistics 4 Abstract and Applied Analysis 4 International Journal of Theoretical and Applied Finance 3 Journal of Mathematical Physics 3 Studia Mathematica 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Osaka Journal of Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 Zeitschrift für Analysis und ihre Anwendungen 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematics Letters 3 The Annals of Applied Probability 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Problems in Engineering 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Acta Mathematica Sinica. English Series 3 Communications on Pure and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Frontiers of Mathematics in China 3 Journal of Pseudo-Differential Operators and Applications 2 Applicable Analysis 2 International Journal of Theoretical Physics 2 Mathematical Notes 2 Theory of Probability and its Applications 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the Mathematical Society of Japan 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Semigroup Forum 2 Statistics & Probability Letters 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Aequationes Mathematicae 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Archives of Control Sciences 2 Bulletin des Sciences Mathématiques 2 Applied Mathematical Finance 2 Mathematical Finance 2 Positivity 2 Communications in Nonlinear Science and Numerical Simulation 2 Quantitative Finance 2 Review of Derivatives Research 2 Advances in Difference Equations 2 Stochastics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 2 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Modern Stochastics. Theory and Applications 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 The Annals of Statistics 1 Archiv der Mathematik 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory ...and 70 more Serials
all top 5

### Cited in 42 Fields

 328 Probability theory and stochastic processes (60-XX) 201 Partial differential equations (35-XX) 135 Operator theory (47-XX) 59 Numerical analysis (65-XX) 51 Potential theory (31-XX) 38 Functional analysis (46-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Real functions (26-XX) 27 Ordinary differential equations (34-XX) 22 Integral equations (45-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 17 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Measure and integration (28-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Statistics (62-XX) 12 Quantum theory (81-XX) 9 Abstract harmonic analysis (43-XX) 9 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 7 Biology and other natural sciences (92-XX) 5 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)