Extension de fonctions de type positif et entropie associée. Cas multidimensionnel
Faltung hypersingulärer Integraloperatoren.
Fast solution of periodic integral equations by GMRES.
Finite-part singular integral approximations in Hilbert spaces.
First kind integral equations for the numerical solution of the plane Dirichlet problem
We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.
Fractional type operators in weighted generalized Hölder spaces.
Fredholm-Volterra integral equation with potential kernel.
Fully Discrete Galerkin Approximations of Parabolic Boundary-Value Problems with Nonsmooth Boundary Data.
Galerkin Methods with Splines for Singular Integral Equations over (0, 1).
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Mathematics Subject Classification: 44A05, 44A35With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.
Generalized Product Theorem for the Mellin Transform and Its Applications
Hilbert transforms and the Cauchy integral in euclidean space
We generalize the notions of harmonic conjugate functions and Hilbert transforms to higher-dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system. These harmonic conjugates are in general far from being unique, but under suitable boundary conditions we prove existence and uniqueness of conjugates. The proof also yields invertibility results for a new class of generalized double layer potential operators on Lipschitz surfaces and boundedness of related Hilbert...
Hölder weight estimates of Riesz-Bessel singular integrals generated by a generalized shift operator.
Hypersingular integral equations and applications to porous elastic materials with periodic cracks
In this work a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions, is presented. The first goal of the present study is the development of an efficient analytical and direct numerical collocation method. The second one is the application of the method to the porous elastic materials when a periodic array of co-planar cracks is present. Starting from Cowin- Nunziato model...
Il problema dinamico della viscoelasticità lineare : unicità per le soluzioni illimitate nel remoto passato
Imbedding theorems of Sobolev type in potential theory.
Integral equations and boundary value problems for eliptic partial differential equations
Integral equations of the first kind of Sonine type.
Integral equations with contrasting kernels.
Integral repesentations and its applications in Clifford analysis.