L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

Joachim von Below

  • Grade : Professeur
  • Equipe : Analyse
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue F. Buisson
    CS 80699
    62228 Calais
  • Bureau : Universite du Littoral
  • Email : Joachim.von-Below@univ-littoral.fr
  • Téléphone : +33 3 21 46 36 53

Publications

Articles de revues

  1. Harmonic functions on metric graphs under the anti-Kirchhoff law ( and ), In Results Math., volume 74, 36-28, . [pdf]
  2. Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs ( and ), In Netw. Heterog. Media, volume 13, 691-717, .
  3. Instability of stationary solutions of reaction-diffusion-equations on graphs ( and ), In Results Math., volume 68, 171-201, . [pdf]
  4. The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions ( and ), In Linear Algebra Appl., volume 439, 1792-1814, . [pdf]
  5. Eigenvalue multiplicities for second order elliptic operators on networks ( and ), In Oper. Matrices, volume 7, 587-602, . [pdf]
  6. Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees (, and ), In Results Math., volume 63, 1331-1350, . [pdf]
  7. Eigenvalue asymptotics for second-order elliptic operators on networks ( and ), In Asymptot. Anal., volume 77, 147-167, .
  8. The eigenvalues of the Laplacian on locally finite networks under generalized node transition ( and ), In Results Math., volume 54, 15-39, . [pdf]
  9. Isospectral infinite graphs and networks and infinite eigenvalue multiplicities ( and ), In Netw. Heterog. Media, volume 4, 453-468, . [pdf]
  10. An index theory for uniformly locally finite graphs (), In Linear Algebra Appl., volume 431, 1-19, . [pdf]
  11. A characterization of even doubly-stochastic matrices ( and ), In Discrete Math., volume 309, 1273-1283, . [pdf]
  12. Even and odd diagonals in doubly stochastic matrices ( and ), In Discrete Math., volume 308, 3917-3929, . [pdf]
  13. Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up (, and ), In Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., volume 17, 35-67, . [pdf]
  14. Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition (), In Bull. Belg. Math. Soc. Simon Stevin, volume 12, 505-519, . [pdf]
  15. The eigenvalues of the Laplacian on locally finite networks ( and ), In Results Math., volume 47, 199-225, .
  16. Harmonic functions on locally finite networks ( and ), In Results Math., volume 45, 1-20, .
  17. Blow up for reaction diffusion equations under dynamical boundary conditions ( and ), In Comm. Partial Differential Equations, volume 28, 223-247, . [pdf]
  18. A qualitative theory for parabolic problems under dynamical boundary conditions ( and ), In J. Inequal. Appl., volume 5, 467-486, . [pdf]
  19. Nonlinear degenerate elliptic equations and axially symmetric problems ( and ), In Calc. Var. Partial Differential Equations, volume 7, 41-51, . [pdf]
  20. Dynamical interface transition in ramified media with diffusion ( and ), In Comm. Partial Differential Equations, volume 21, 255-279, . [pdf]
  21. The index of a periodic graph (), In Results Math., volume 25, 198-223, .
  22. Sturm-Liouville eigenvalue problems on networks (), In Math. Methods Appl. Sci., volume 10, 383-395, . [pdf]
  23. Classical solvability of linear parabolic equations on networks (), In J. Differential Equations, volume 72, 316-337, . [pdf]
  24. A characteristic equation associated to an eigenvalue problem on $c^2$-networks (), In Linear Algebra Appl., volume 71, 309-325, . [pdf]
  25. On a theorem of L. Mirsky on even doubly-stochastic matrices (), In Discrete Math., volume 55, 311-312, . [pdf]

Chapitres de livres

  1. Instability of stationary solutions of evolution equations on graphs under dynamical node transition ( and ), Chapter in Mathematical technology of networks, Springer, Cham, volume 128, 13-26, . [pdf]
  2. Eigenvalue asymptotics under a nondissipative eigenvalue dependent boundary condition for second-order elliptic operators (), Chapter in Functional analysis and evolution equations, Birkhäuser, 67-81, . [pdf]
  3. Can one hear the shape of a network? (), Chapter in Partial differential equations on multistructures (Luminy, 1999), Dekker, volume 219, 19-36, .
  4. A maximum principle for fully nonlinear parabolic equations with time degeneracy (), Chapter in Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), Dekker, volume 215, 329-334, .
  5. Front propagation in diffusion problems on trees (), Chapter in Calculus of variations, applications and computations (Pont-à-Mousson, 1994), Longman Sci. Tech., volume 326, 254-265, .
  6. Nonlinear and dynamical node transition in network diffusion problems (), Chapter in Evolution equations, control theory, and biomathematics (Han sur Lesse, 1991), Dekker, volume 155, 1-10, .
  7. An existence result for semilinear parabolic network equations with dynamical node conditions (), Chapter in Progress in partial differential equations: elliptic and parabolic problems (Pont-à-Mousson, 1991), Longman Sci. Tech., volume 266, 274-283, .
  8. A maximum principle for semilinear parabolic network equations (), Chapter in Differential equations with applications in biology, physics, and engineering (Leibnitz, 1989), Dekker, volume 133, 37-45, .

Rapports

  1. Stability implies constancy on finite metric graphs ( and ), Technical report 527, LMPA, .
  2. A variationnal approach to relativistic fluid balls ( and ), Technical report 508, LMPA, .
  3. Instability of stationnary solutions of evolution equations on graphs under dynamical node transition ( and ), Technical report 503, LMPA, .
  4. Instability of stationnary solutions of reaction-diffusion-equations on networks ( and ), Technical report 495, LMPA, .
  5. The Spectrum of the Hilbert Space Valued Second Derivative with General Self-Adjoint Boundary Conditions ( and ), Technical report 478, LMPA, .
  6. Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees (, and ), Technical report, LMPA, .
  7. Eigenvalue multiplicities and asymptotics for second order elliptic operators on networks ( and ), Technical report, LMPA, .
  8. Growth order and blow up points for the parabolic Burger's equation under dynamical boundary conditions (, and ), Technical report, LMPA, .
  9. Eigenvalue multiplicities and asymptotics for second order elliptic operators on networks ( and ), Technical report, LMPA, .
  10. A characterization of even doubly-stochastic matrices ( and ), Technical report, LMPA, .
  11. Isospectral infinite graphs and infinite eigenvalue multiplicities ( and ), Technical report, LMPA, .
  12. ?`Se puede oír la forma de una red ? (), Technical report, LMPA, .
  13. Even and odd diagonals in doubly-stochastic matrices ( and ), Technical report, LMPA, .
  14. An index theory for uniformly locally finite graphs (), Technical report, LMPA, .
  15. On the rotating star problem in general relativity ( and ), Technical report, LMPA, .
  16. Eigenvalue asymptotics under a non dissipative eigenvalue dependent boundary condition for second order elliptic operators ( and ), Technical report, LMPA, .
  17. The eigenvalues of the Laplacian on locally finite networks under generalized node transition ( and ), Technical report, LMPA, .
  18. Blow up for some nonlinear parabolic problems with convection under dynamical boundary conditions ( and ), Technical report, LMPA, .
  19. Even and odd diagonals in doubly-stochastic matrices ( and ), Technical report, LMPA, .
  20. Parabolic problems with dynamical boundary conditions : eigenvalue expansions and blow up (, and ), Technical report, LMPA, .
  21. The eigenvalues of the Laplacian on locally finite networks ( and ), Technical report, LMPA, .
  22. Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition - II ( and ), Technical report, LMPA, .
  23. Spectral asymptotics for the Laplacian under eigenvalue dependent boundary condition ( and ), Technical report, LMPA, .
  24. Harmonic functions on locally finite networks ( and ), Technical report, LMPA, .
  25. Blow up for reaction diffusion equations under dynamical boundary conditions ( and ), Technical report, LMPA, .
  26. Can One Hear the Shape of a Network (), Technical report, LMPA, .
  27. A maximum principle for fully nonlinear parabolic equations with time degeneracy (), Technical report, LMPA, .
  28. A qualitative theory for parabolic problems under dynamical boundary conditions ( and ), Technical report, LMPA, .
  29. Some spectral estimates for periodic graphs (, and ), Technical report 084, LMPA, .

Agenda