Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 10, 6 p.

Asymptotics with sharp remainder estimates are recovered for number N(τ) of eigenvalues of the generalized Maxwell problem and for related Laplacians which are similar to Neumann Laplacian. We consider domains with ultra-thin cusps (with exp(-|x| m+1 ) width ; m>0) and recover eigenvalue asymptotics with sharp remainder estimates.

@article{SEDP_1998-1999____A10_0,
     author = {Ivrii, Victor},
     title = {Eigenvalue asymptotics for {Neumann} {Laplacian} in domains with ultra-thin cusps},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:10},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1998-1999},
     mrnumber = {1721328},
     zbl = {1061.35504},
     language = {fr},
     url = {http://www.numdam.org/item/SEDP_1998-1999____A10_0/}
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Ivrii, Victor. Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 10, 6 p. http://www.numdam.org/item/SEDP_1998-1999____A10_0/

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