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

## 40 publications

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

# Informations

Stochastic Geometry Days  du 15 au 19 novembre.