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 : vonbelow@lmpa.univ-littoral.fr
- Téléphone : +33 3 21 46 36 53
Publications
Articles de revues
- Blow up for reaction diffusion equations under dynamical boundary conditions (), In Comm. Partial Differential Equations, volume 28, 2003.
- Blow up for some nonlinear parabolic problems with convection under dynamical boundary conditions (), In Discrete Contin. Dyn. Syst., 2007.
- Growth order and blow up points for the parabolic Burgers' equation under dynamical boundary conditions (), In Discrete Contin. Dyn. Syst. Ser. S, volume 6, 2013.
- Instability of stationary solutions of reaction-diffusion-equations on graphs. (), In Result. Math., Springer (Birkhäuser), Basel, volume 68, 2015.
- Eigenvalue multiplicities for second order elliptic operators on networks. (), In Oper. Matrices, ELEMENT, Zagreb, volume 7, 2013.
- The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions (), In Linear Algebra Appl., volume 439, 2013.
- Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees (), In Results Math., volume 63, 2013.
- Eigenvalue asymptotics for second-order elliptic operators on networks (), In Asymptot. Anal., volume 77, 2012.
- The eigenvalues of the Laplacian on locally finite networks under generalized node transition (), In Results Math., volume 54, 2009.
- Isospectral infinite graphs and networks and infinite eigenvalue multiplicities (), In Netw. Heterog. Media, volume 4, 2009.
- An index theory for uniformly locally finite graphs (), In Linear Algebra Appl., volume 431, 2009.
- A characterization of even doubly-stochastic matrices (), In Discrete Math., volume 309, 2009.
- Even and odd diagonals in doubly stochastic matrices (), In Discrete Math., volume 308, 2008.
- Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up (), In Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., volume 17, 2006.
- Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition (), In Bull. Belg. Math. Soc. Simon Stevin, volume 12, 2005.
- The eigenvalues of the Laplacian on locally finite networks (), In Results Math., volume 47, 2005.
- Harmonic functions on locally finite networks (), In Results Math., volume 45, 2004.
- A qualitative theory for parabolic problems under dynamical boundary conditions (), In J. Inequal. Appl., volume 5, 2000.
- Nonlinear degenerate elliptic equations and axially symmetric problems (), In Calc. Var. Partial Differential Equations, volume 7, 1998.
- Dynamical interface transition in ramified media with diffusion (), In Comm. Partial Differential Equations, volume 21, 1996.
- A note on the Perron root of a weighted $t$th order mean of nonnegative matrices (), In Linear and Multilinear Algebra, volume 40, 1995.
- The index of a periodic graph (), In Results Math., volume 25, 1994.
- Sturm-Liouville eigenvalue problems on networks (), In Math. Methods Appl. Sci., volume 10, 1988.
- Classical solvability of linear parabolic equations on networks (), In J. Differential Equations, volume 72, 1988.
- A characteristic equation associated to an eigenvalue problem on $c^2$-networks (), In Linear Algebra Appl., volume 71, 1985.
- On a theorem of L. Mirsky on even doubly-stochastic matrices (), In Discrete Math., volume 55, 1985.
- Growth order and blow up points for the parabolic Burger's equation under dynamical boundary conditions (), In Discrete Contin. Dyn. Syst. Ser. S, volume 6, 2013.
Chapitres de livres
- Instability of stationary solutions of evolution equations on graphs under dynamical node transition (), Chapter in Mathematical technology of networks, Springer, Cham, volume 128, 2015.
- Eigenvalue asymptotics under a nondissipative eigenvalue dependent boundary condition for second-order elliptic operators (), Chapter in Functional analysis and evolution equations, Birkhäuser, 2008.
- Can one hear the shape of a network? (), Chapter in Partial differential equations on multistructures (Luminy, 1999), Dekker, volume 219, 2001.
- 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, 2001.
- Front propagation in diffusion problems on trees (), Chapter in Calculus of variations, applications and computations (Pont-à-Mousson, 1994), Longman Sci. Tech., volume 326, 1995.
- Nonlinear and dynamical node transition in network diffusion problems (), Chapter in Evolution equations, control theory, and biomathematics (Han sur Lesse, 1991), Dekker, volume 155, 1994.
- 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, 1992.
- A maximum principle for semilinear parabolic network equations (), Chapter in Differential equations with applications in biology, physics, and engineering (Leibnitz, 1989), Dekker, volume 133, 1991.
Rapports
- Some spectral estimates for periodic graphs (), Technical report, LMPA, 1999.
- Growth order and blow up points for the parabolic Burger's equation under dynamical boundary conditions (), Technical report, LMPA, 2010.
- Blow up for some nonlinear parabolic problems with convection under dynamical boundary conditions (), Technical report, LMPA, 2006.
- Stability implies constancy on finite metric graphs (), Technical report 527, LMPA, 2017.
- A variationnal approach to relativistic fluid balls (), Technical report 508, LMPA, 2014.
- Instability of stationnary solutions of evolution equations on graphs under dynamical node transition (), Technical report 503, LMPA, 2014.
- Eigenvalue asymptotics under a non dissipative eigenvalue dependent boundary condition for second order elliptic operators (), Technical report, LMPA, 2006.
- Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition - II (), Technical report, LMPA, 2004.
- Spectral asymptotics for the Laplacian under eigenvalue dependent boundary condition (), Technical report, LMPA, 2003.
- A characterization of even doubly-stochastic matrices (), Technical report, LMPA, 2008.
- Even and odd diagonals in doubly-stochastic matrices (), Technical report, LMPA, 2007.
- Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees (), Technical report, LMPA, 2012.