Results 1 to 10 of about 184,967,875 (212)
ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM [PDF]
Ural Mathematical Journal, 2015 A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
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A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]
, 2009 In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
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TWO-DIMENSIONAL INVERSE SCATTERING FOR QUASI-LINEAR BIHARMONIC OPERATOR [PDF]
, 2021 The subject of this work concerns the classical direct and inverse scattering problems for quasi-linear perturbations of the two-dimensional biharmonic operator.
Kultima, Jaakko +7 more
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Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator [PDF]
, 2021 Some inverse scattering problems for the three-dimensional biharmonic operator are considered. The operator is perturbed by first and zero order perturbations, which may be complex-valued and singular. We show the existence of the scattering solutions in
Serov, Valery
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Inverse scattering for three-dimensional quasi-linear biharmonic operator [PDF]
, 2022 We consider an inverse scattering problem of recovering the unknown coefficients of a quasi-linearly perturbed biharmonic operator in the three-dimensional case.
Kultima, Jaakko +2 more
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Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line [PDF]
, 2020 We consider an inverse scattering problem of recovering the unknown coefficients of quasi-linearly perturbed biharmonic operator on the line. These unknown complex-valued coefficients are assumed to satisfy some regularity conditions on their ...
Serov, Valery, Tyni, Teemu
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Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), 2020 Рассматриваются априорные оценки неоднозначности (погрешности) приближенных решений условно-корректных нелинейных обратных задач, основанные на модуле непрерывности обратного оператора и его модификациях. Установлена связь модуля непрерывности обратного оператора с разрешающей способностью геофизического метода.
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Continuity and general perturbation of the Drazin inverse for closed linear operators [PDF]
, 2002 We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators.
J. J. Koliha +2 more
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, 2022 In this paper, we establish some new generalized results on the equivalence of K-functionals and modulus of continuity of functions defined on the Sobolev space Lα,β2ℝ, by using the harmonic analysis related to the Jacobi-Dunkl operator Δα,β, where α≥β ...
Ali El Mfadel +2 more
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On the commutator modulus of continuity for operator monotone functions [PDF]
, 2023 Let $f \geq 0$ be operator monotone on $[0, \infty)$. In this paper we prove that for any unitarily-invariant norm $|||-|||$ on $M_n(\mathbb{C})$ and matrices $A, B, X \in M_n(\mathbb{C})$ with $A, B \geq 0$ and $|||X||| \leq 1$, \[|||f(A)X-Xf(B)||| \leq
Herrera, David
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