MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR
Copyright policy )MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR
The estimates from above for the multiplicity of the eigenvalues of the Schrödinger operators on compact Riemannian two-dimensional manifolds are obtained. The paper contains also several examples illustrating the sharpness of the results.
Second-order elliptic equations, Schrödinger operator, Schrödinger equation, Spectral problems; spectral geometry; scattering theory on manifolds, multiplicity, Estimates of eigenvalues in context of PDEs, estimates from above, compact Riemannian two-dimensional manifolds, Schrödinger operators
Second-order elliptic equations, Schrödinger operator, Schrödinger equation, Spectral problems; spectral geometry; scattering theory on manifolds, multiplicity, Estimates of eigenvalues in context of PDEs, estimates from above, compact Riemannian two-dimensional manifolds, Schrödinger operators
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