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Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function involves boundary integral operators. We prove that these integral operators are weakly singular
Hausdorff–Berezin operators on weighted spaces of integral operators on the unit disc D, which are called Hausdorff–
Berezin operators. We consider general
"Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics of the latter, some (singular) solution of the vacuum equations may be associated. We present some exact
Lᵖ Regularity of the Solution of the Heat Equation with Discontinuous Coefficients
sector in Lᵖ-Sobolev spaces. By Applying the theory of the sums of operators of Da Prato
Methods for solving a singular integral equation with Cauchy kernel on the real lineWe study exact and approximate methods for solving a singular integral equation with Cauchy kernel
Numerical Evaluation of the Truncated Singular Value Decomposition Within the Seismic Traveltimes Tomography FrameworkThe method of truncated singular value decomposition is a powerful tool of regularization
On the Ellipticity of G-translators on Manifolds with Isolated SingularitiesThe paper deals with G-translators on manifolds with isolated singularities, that is translators
The study of boundary-value problems for a singular B-elliptic equation by the method of potentials″ = sum p-2 j=1∂ 2/∂x j 2, B xp-1 = ∂ 2/∂x j 2+k/∂x p-1∂/∂/∂x p-1 is the Bessel operator, 0 < α < 1 andk
ON ONE METHOD OF STUDYING IMPLICIT SINGULAR DIFFERENTIAL INCLUSIONS of a given singularity. To the operator inclusion we apply the results on Lipschitz perturbations
Pseudo-differential operators on manifolds with a singular boundary pseudo-differential operators acting in functional spaces on such manifolds. Fredholm properties
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