scientific article; zbMATH DE number 1423952

Publication date: 10 October 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

eigenfunction elliptic operator nodal sets Carleman inequalities

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15)

Related Items

Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators, On Courant's nodal domain property for linear combinations of eigenfunctions. I, Controllability of a Stokes system with a diffusive boundary condition, Equidistribution of the conormal cycle of random nodal sets, A spectral inequality for degenerate operators and applications, Controllability of a parabolic system with a diffuse interface, On the controllability of anomalous diffusions generated by the fractional Laplacian, Ingham-type inequalities for complex frequencies and applications to control theory, Harmonic Analysis and Random Schrödinger Operators, Doubling inequalities and nodal sets in periodic elliptic homogenization, Localized null controllability and corresponding minimal norm control blowup rates of thermoelastic systems, Complex zeros of real ergodic eigenfunctions, Spectral inequality and resolvent estimate for the bi-Laplace operator, Scale-free uncertainty principles and Wegner estimates for random breather potentials, Observability and null-controllability for parabolic equations in \(L_p\)-spaces, Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations, Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, On Weak Observability for Evolution Systems with Skew-Adjoint Generators, Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes, A remark on quantitative unique continuation from subsets of the boundary of positive measure, On (global) unique continuation properties of the fractional discrete Laplacian, Null-controllability of the Kolmogorov equation in the whole phase space, Propagation of smallness and control for heat equations, Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions, Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations, Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials, Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media, Uniform controllability properties for space/time-discretized parabolic equations, Critical sets of eigenfunctions of the Laplacian, Sharp estimates and homogenization of the control cost of the heat equation on large domains, Local controllability of reaction-diffusion systems around nonnegative stationary states, Scale-free unique continuation estimates and Logvinenko-Sereda theorems on the torus, Sufficient Criteria and Sharp Geometric Conditions for Observability in Banach Spaces, The Lebeau–Robbiano inequality for the one-dimensional fourth order elliptic operator and its application, Quantitative uniqueness for second-order elliptic operators, Doubling inequality and nodal sets for solutions of bi-Laplace equations, How violent are fast controls. III., Heat equation on the Heisenberg group: observability and applications, Density of zero sets for sums of eigenfunctions, Carleman Estimates for the Schrödinger Operator. Applications to Quantitative Uniqueness, Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems, Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations, Null controllability of the Lotka-McKendrick system with spatial diffusion, Carleman commutator approach in logarithmic convexity for parabolic equations, Resolvent conditions for the control of parabolic equations, Carleman estimates for stratified media, Impulse output rapid stabilization for heat equations, Non-structural controllability of linear elastic systems with structural damping, A metric Sturm-Liouville theory in two dimensions, Control from an interior hypersurface, Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts, On two methods for quantitative unique continuation results for some nonlocal operators, Indeterminacy estimates and the size of nodal sets in singular spaces, State-constrained controllability of linear reaction-diffusion systems, Propagation of Smallness in Elliptic Periodic Homogenization, Internal Observability for Coupled Systems of Linear Partial Differential Equations, A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit, Controllability of a parabolic system with a diffusive interface