Joachim von BELOW

• Professeur émérite au LMPA
• Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
• Email : Joachim.von-Below@univ-littoral.fr


• Laboratoire de Mathématiques Pure et Appliquées
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue Ferdinand Buisson
    CS 80699
    62228 CALAIS Cedex France
  • Téléphone : +33 3 21 46 36 53

40 publications

1. A variational approach to relativistic fluid balls (von Below J. and Kaul H.), In Calc. Var. Partial Differential Equations, volume 60, 2021. [url] [doi][hal-lmpa]
2. Stability Matters for Reaction–Diffusion–Equations on Metric Graphs Under the Anti-Kirchhoff Vertex Condition (von Below J. and Lubary J. A.), Chapter in (Atay, Fatihcan M., Kurasov, Pavel B., Mugnolo, Delio, eds.), Springer International Publishing, 2020. [url] [doi][hal-lmpa]
3. Harmonic functions on metric graphs under the anti-Kirchhoff law (von Below J. and Lubary J. A.), In Results Math., volume 74, 2019. [url] [doi][hal-lmpa]
4. Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs (von Below J. and Lubary J. A.), In Netw. Heterog. Media, volume 13, 2018. [url] [doi][hal-lmpa]
5. Qualitative results for parabolic equations involving the $p$-Laplacian under dynamical boundary conditions (von Below J., Cuesta M. and Pincet Mailly G.), In North-West. Eur. J. Math., volume 4, 2018. [hal-lmpa]
6. Instability of stationary solutions of reaction-diffusion-equations on graphs (von Below J. and Lubary J. A.), In Results Math., volume 68, 2015. [url] [doi]
7. Instability of stationary solutions of evolution equations on graphs under dynamical node transition (von Below J. and Vasseur B.), Chapter in Mathematical technology of networks, Springer, Cham, volume 128, 2015. [url] [doi]
8. The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions (von Below J. and Mugnolo D.), In Linear Algebra Appl., volume 439, 2013. [url] [doi]
9. Eigenvalue multiplicities for second order elliptic operators on networks (von Below J. and Lubary J. A.), In Oper. Matrices, volume 7, 2013. [url] [doi]
10. Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees (von Below J., Lubary J. A. and Vasseur B.), In Results Math., volume 63, 2013. [url] [doi]
11. Growth order and blow up points for the parabolic Burgers' equation under dynamical boundary conditions (von Below J., Pincet Mailly G. and Rault J.-F.), In Discrete Contin. Dyn. Syst. Ser. S, volume 6, 2013. [url] [doi][hal]
12. Eigenvalue asymptotics for second-order elliptic operators on networks (von Below J. and Lubary J. A.), In Asymptot. Anal., volume 77, 2012.
13. The eigenvalues of the Laplacian on locally finite networks under generalized node transition (von Below, Joachim and Lubary, José A.), In Results Math., volume 54, 2009. [url] [doi]
14. Isospectral infinite graphs and networks and infinite eigenvalue multiplicities (von Below, Joachim and Lubary, José A.), In Netw. Heterog. Media, volume 4, 2009. [url] [doi]
15. An index theory for uniformly locally finite graphs (von Below, Joachim), In Linear Algebra Appl., volume 431, 2009. [url] [doi]
16. A characterization of even doubly-stochastic matrices (von Below, Joachim and Rénier, Simon), In Discrete Math., volume 309, 2009. [url] [doi]
17. Even and odd diagonals in doubly stochastic matrices (von Below, Joachim and Rénier, Simon), In Discrete Math., volume 308, 2008. [url] [doi]
18. Eigenvalue asymptotics under a nondissipative eigenvalue dependent boundary condition for second-order elliptic operators (von Below, Joachim and François, Gilles), Chapter in Functional analysis and evolution equations, Birkhäuser, Basel, 2008. [url] [doi]
19. Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions (Bandle, C., Below, J. v. and Reichel, W.), In J. Eur. Math. Soc. (JEMS), volume 10, 2008. [url] [doi]
20. Blow up for some nonlinear parabolic problems with convection under dynamical boundary conditions (von Below, Joachim and Pincet Mailly, Gaëlle), In Discrete Contin. Dyn. Syst., 2007.
21. Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up (Bandle, Catherine, von Below, Joachim and Reichel, Wolfgang), In Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., volume 17, 2006. [url] [doi]
22. Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition (von Below, Joachim and François, Gilles), In Bull. Belg. Math. Soc. Simon Stevin, volume 12, 2005. [url]
23. The eigenvalues of the Laplacian on locally finite networks (von Below, Joachim and Lubary, José A.), In Results Math., volume 47, 2005. [url] [doi]
24. Harmonic functions on locally finite networks (von Below, Joachim and Lubary, José A.), In Results Math., volume 45, 2004. [url] [doi]
25. Blow up for reaction diffusion equations under dynamical boundary conditions (von Below, Joachim and Pincet Mailly, Gaëlle), In Comm. Partial Differential Equations, volume 28, 2003. [url] [doi]
26. Can one hear the shape of a network? (von Below, Joachim), Chapter in Partial differential equations on multistructures (Luminy, 1999), Dekker, New York, volume 219, 2001.
27. A maximum principle for fully nonlinear parabolic equations with time degeneracy (Von Below, Joachim), Chapter in Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), Dekker, New York, volume 215, 2001.
28. A qualitative theory for parabolic problems under dynamical boundary conditions (von Below, Joachim and De Coster, Colette), In J. Inequal. Appl., volume 5, 2000. [url] [doi]
29. Nonlinear degenerate elliptic equations and axially symmetric problems (von Below, Joachim and Kaul, Helmut), In Calc. Var. Partial Differential Equations, volume 7, 1998. [url] [doi]
30. Dynamical interface transition in ramified media with diffusion (von Below, Joachim and Nicaise, Serge), In Comm. Partial Differential Equations, volume 21, 1996. [url] [doi]
31. A note on the Perron root of a weighted $t$th order mean of nonnegative matrices (Von Below, Joachim and Wagner, Renate), In Linear and Multilinear Algebra, volume 40, 1995. [url] [doi]
32. Front propagation in diffusion problems on trees (von Below, J.), Chapter in Calculus of variations, applications and computations (Pont-à-Mousson, 1994), Longman Sci. Tech., Harlow, volume 326, 1995.
33. The index of a periodic graph (von Below, Joachim), In Results Math., volume 25, 1994. [url] [doi]
34. Nonlinear and dynamical node transition in network diffusion problems (von Below, J.), Chapter in Evolution equations, control theory, and biomathematics (Han sur Lesse, 1991), Dekker, New York, volume 155, 1994.
35. An existence result for semilinear parabolic network equations with dynamical node conditions (von Below, J.), Chapter in Progress in partial differential equations: elliptic and parabolic problems (Pont-à-Mousson, 1991), Longman Sci. Tech., Harlow, volume 266, 1992.
36. A maximum principle for semilinear parabolic network equations (von Below, Joachim), Chapter in Differential equations with applications in biology, physics, and engineering (Leibnitz, 1989), Dekker, New York, volume 133, 1991.
37. Sturm-Liouville eigenvalue problems on networks (von Below, Joachim), In Math. Methods Appl. Sci., volume 10, 1988. [url] [doi]
38. Classical solvability of linear parabolic equations on networks (von Below, Joachim), In J. Differential Equations, volume 72, 1988. [url] [doi]
39. A characteristic equation associated to an eigenvalue problem on $c^2$-networks (von Below, Joachim), In Linear Algebra Appl., volume 71, 1985. [url] [doi]
40. On a theorem of L. Mirsky on even doubly-stochastic matrices (von Below, Joachim), In Discrete Math., volume 55, 1985. [url] [doi]