Horst Heck

678 total citations
18 papers, 319 citations indexed

About

Horst Heck is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Horst Heck has authored 18 papers receiving a total of 319 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Mathematical Physics, 12 papers in Computational Theory and Mathematics and 12 papers in Applied Mathematics. Recurrent topics in Horst Heck's work include Advanced Mathematical Modeling in Engineering (12 papers), Numerical methods in inverse problems (10 papers) and Navier-Stokes equation solutions (6 papers). Horst Heck is often cited by papers focused on Advanced Mathematical Modeling in Engineering (12 papers), Numerical methods in inverse problems (10 papers) and Navier-Stokes equation solutions (6 papers). Horst Heck collaborates with scholars based in Germany, South Korea and Japan. Horst Heck's co-authors include Matthias Hieber, Jenn‐Nan Wang, Matthias Geißert, Hyunseok Kim, Hideo Kozono, Robert Haller‐Dintelmann, Xiaosheng Li, Günther Uhlmann and Ian Wood and has published in prestigious journals such as Nonlinear Analysis, Inverse Problems and Mathematische Annalen.

In The Last Decade

Horst Heck

18 papers receiving 286 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Horst Heck Germany	12	229	212	168	49	49	18	319
Mikil Foss United States	10	111 0.5×	233 1.1×	225 1.3×	66 1.3×	42 0.9×	25	336
Robert Haller‐Dintelmann Germany	9	107 0.5×	169 0.8×	197 1.2×	37 0.8×	28 0.6×	24	275
S. L. Sobolev United Kingdom	2	71 0.3×	152 0.7×	98 0.6×	20 0.4×	28 0.6×	4	233
Carsten Ebmeyer Germany	11	75 0.3×	146 0.7×	216 1.3×	19 0.4×	67 1.4×	24	308
Remigio Russo Italy	11	93 0.4×	190 0.9×	183 1.1×	82 1.7×	60 1.2×	36	310
Bogdan Bojarski Poland	13	199 0.9×	597 2.8×	190 1.1×	13 0.3×	44 0.9×	28	694
Anna Doubova Spain	9	224 1.0×	64 0.3×	251 1.5×	266 5.4×	19 0.4×	19	332
Паоло Мусоліно Italy	9	140 0.6×	89 0.4×	220 1.3×	23 0.5×	77 1.6×	43	267
Sandra Martı́nez Argentina	10	86 0.4×	217 1.0×	195 1.2×	12 0.2×	17 0.3×	30	305
Alatancang Chen China	9	97 0.4×	137 0.6×	131 0.8×	21 0.4×	43 0.9×	76	237

Countries citing papers authored by Horst Heck

Since Specialization

Citations

This map shows the geographic impact of Horst Heck's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Horst Heck with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Horst Heck more than expected).

Fields of papers citing papers by Horst Heck

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Horst Heck. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Horst Heck. The network helps show where Horst Heck may publish in the future.

Co-authorship network of co-authors of Horst Heck

This figure shows the co-authorship network connecting the top 25 collaborators of Horst Heck. A scholar is included among the top collaborators of Horst Heck based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Horst Heck. Horst Heck is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

Heck, Horst, et al.. (2016). Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates. Journal of Inverse and Ill-Posed Problems. 25(2). 251–263. 18 indexed citations

Geißert, Matthias, et al.. (2013). $H^{\infty}$-calculus for a system of Laplace operators with mixed order boundary conditions. Discrete and Continuous Dynamical Systems - S. 6(5). 1259–1275. 4 indexed citations

Heck, Horst, Hyunseok Kim, & Hideo Kozono. (2012). Weak solutions of the stationary Navier–Stokes equations for a viscous incompressible fluid past an obstacle. Mathematische Annalen. 356(2). 653–681. 13 indexed citations

Geißert, Matthias, et al.. (2011). Weak Neumann implies Stokes. Journal für die reine und angewandte Mathematik (Crelles Journal). 2012(669). 19 indexed citations

Heck, Horst, Hyunseok Kim, & Hideo Kozono. (2011). On the stationary Navier–Stokes flows around a rotating body. manuscripta mathematica. 138(3-4). 315–345. 7 indexed citations

Geißert, Matthias, et al.. (2010). Remarks on the $L^p$-approach to theStokes equation on unbounded domains. Discrete and Continuous Dynamical Systems - S. 3(2). 291–297. 1 indexed citations

Heck, Horst, et al.. (2010). $L^\infty$-estimates for parabolic systems with VMO-coefficients. Discrete and Continuous Dynamical Systems - S. 3(2). 299–309. 5 indexed citations

Heck, Horst. (2009). Stability Estimates for the Inverse Conductivity Problem for Less Regular Conductivities. Communications in Partial Differential Equations. 34(2). 107–118. 9 indexed citations

Heck, Horst, Hyunseok Kim, & Hideo Kozono. (2009). Stability of plane Couette flows with respect to small periodic perturbations. Nonlinear Analysis. 71(9). 3739–3758. 8 indexed citations

10.

Wang, Jenn‐Nan, Horst Heck, & Xiaosheng Li. (2007). Identification of viscosity in an incompressible fluid. Indiana University Mathematics Journal. 56(5). 2489–2510. 17 indexed citations

11.

Heck, Horst, Günther Uhlmann, & Jenn‐Nan Wang. (2007). Reconstruction of obstacles immersed in an incompressible fluid. Inverse Problems and Imaging. 1(1). 63–76. 17 indexed citations

12.

Heck, Horst & Jenn‐Nan Wang. (2006). Stability estimates for the inverse boundary value problem by partial Cauchy data. Inverse Problems. 22(5). 1787–1796. 43 indexed citations

13.

Geißert, Matthias, Horst Heck, & Matthias Hieber. (2006). L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Journal für die reine und angewandte Mathematik (Crelles Journal). 2006(596). 59 indexed citations

14.

Haller‐Dintelmann, Robert, Horst Heck, & Matthias Hieber. (2006). $L^p-L^q$ ESTIMATES FOR PARABOLIC SYSTEMS IN NON-DIVERGENCE FORM WITH VMO COEFFICIENTS. Journal of the London Mathematical Society. 74(3). 717–736. 25 indexed citations

15.

Geißert, Matthias, Horst Heck, Matthias Hieber, & Ian Wood. (2005). The Ornstein-Uhlenbeck semigroup in exterior domains. Archiv der Mathematik. 85(6). 554–562. 11 indexed citations

16.

Heck, Horst, et al.. (2003). Muckenhoupt weights and maximal L p -regularity. Archiv der Mathematik. 81(4). 422–430. 11 indexed citations

17.

Heck, Horst & Matthias Hieber. (2003). Maximal L p ‐regularity for elliptic operators with VMO‐coefficients. Journal of Evolution Equations. 3(2). 332–359. 13 indexed citations

18.

Heck, Horst, et al.. (2002). . Mathematische Nachrichten. 244(1). 110–130. 39 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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