 About 212 results  books.google.com Springer INdAM Series Analysis and Numerics of Partial Differential Equations,
2013 10.1007/9788847O25929_2 ... Their argument is the application to the
heat equation of a method that in the Italian School is called “Picone's Method”.
The basic idea of the method ... of integral equations of FischerRiesz type. This
idea ... 

 books.google.com And in his note [8] on the argument, PICONE proposes precisely the question of
seeing how we ought to choose these functions to make sure that the systems of
FISCHERRIEsz equations have as solutions those and only those solutions of ... 

 books.google.com This has led to the modern version of the method of FischerRiesz equations.
However the results of Amerio did not solve all the difficulties of Picone's method,
since the question remained whether the ... of functions, provided that there was
an explicit expression for a fundamental solution of the differential equation. ... It
is usually believed that the Fourier method connected with separating the
variables (full or partial) admits an effective realization only for some concrete
domains. 

 books.google.com Fourier method associated with (complete or partial) separation of variables only
yields an effective solution for ... in its application to equations of elliptic type, in
works of contemporary Italian mathematicians (Picone, Amerio, Fichera, Ghizzetti
and others). Since there is a description of the method of the FischerRiesz
equations and a detailed bibliography on this subject in the ... Let L be an elliptic
second order differential operator, L* the conjugate operator, P and Q linear ( "
surface ... 

 books.google.com Existence results for global minimax solutions to some systems of firstorder
nonlinear partial differential equations are given. The case ... The socalled Riesz
Fischer method was first used by M. Picone in his paper on elasticity [Atti Accad.
Sci. 

 books.google.com Jacob Pieter Den Hartog, Heinrich Peters  1939  Snippet view M. PICONE*1', which can be applied to the most general systems of partial
differential equations with boundary ... The convergence of this method is
assured every time the solution of the problem can be said to exist. ... Bologna
1938. of the FISCHERRIESZ type In the unknown auxiliary functions and THE
ACTIVITY OF THE ITALIAN NATIONAL INSTITUTE FOR THE APPLICATION OF
CALCULUS 261. 

 books.google.com By M. Picone and T. Viola. ... theorems on termbyterm integration, the Riesz
Fischer theorem, Fubini's theorem, bounded variation in the sense of Vitali, ...
Few are the books devoted exclusively to the numerical treatment of differential
equations. ... Here now is a more amibitious undertaking, namely to make a
comprehensive study of numerical methods for both ordinary and partial
differential equations. 

 books.google.com For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available. 

 books.google.com This volume brings to the forefront some of the proponents of the mathematics of the twentieth century who have put at our disposal new and powerful instruments for investigating the reality around us. 

 books.google.com Signal Analysis: Time, Frequency, Scale, and Structure opens a window into the practice of signal analysis by providing a gradual yet thorough introduction to the theory behind signal analysis as well as the abstract mathematics and ... 

 