Teoria dei fasci e trasformazioni integrali per -moduli tra varietà di Grassmann
The current situation in the linear problem of Molodenskii
Si prova l'esistenza di un'unica soluzione debole che dipende con continuità dai dati al contorno per il problema lineare di Molodenskii in approssimazione quasi sferica, nel caso che la superficie al contorno soddisfi una condizione di cono. Si segue un approccio costruttivo diretto, che generalizza una procedura precedentemente elaborata per il problema semplice di Molodenskii. Inoltre si prova che la soluzione ha derivate prime a quadrato integrabile al contorno, il che è essenziale per le applicazioni...
The FBI transform, operators with nonsmooth coefficients and the nonlinear wave equation
The aim of this work is threefold. First we set up a calculus for partial differential operators with nonsmooth coefficients which is based on the FBI (Fourier-Bros-Iagolnitzer) transform. Then, using this calculus, we prove a weaker version of the Strichartz estimates for second order hyperbolic equations with nonsmooth coefficients. Finally, we apply these new Strichartz estimates to second order nonlinear hyperbolic equations and improve the local theory, i.e. prove local well-posedness for initial...
The Fourier method for the linear partial differential equations of the -th order
The Fourier transform on and its application to Cauchy problems for linear partial differential equations
The jump problem for mixed-type equations with defects on the type change line.
The Laplace method of the linear partial differential equations of the -th order
The multidimensional -transform and its use in solution of partial difference equations
The restriction of the Fourier transform to some curves and surfaces
The solution of an axially symmetric boundary value problem of the generalized heat equation and its application in the technology of microschemes
Theorems on -dimensional Laplace transforms and their applications.
Théorie de la diffusion à courte portée pour des opérateurs à caractéristiques simples
Transformation de Fourier géométrique
Transformation de Fourier géométrique et microlocalisation