Shape analyticity and singular perturbations for layer potential operators
We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …
A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
M Dalla Riva, M Lanza de Cristoforis - 2010 - degruyter.com
In this paper, we consider two bounded open subsets of Ω i and Ω o of R n containing 0 and
a (nonlinear) function G o of∂ Ω o× R n to R n, and a map T of] 1-(2/n),+∞[times the set M n …
a (nonlinear) function G o of∂ Ω o× R n to R n, and a map T of] 1-(2/n),+∞[times the set M n …
A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients
M Dalla Riva, J Morais… - Mathematical Methods in …, 2013 - Wiley Online Library
The purpose of this paper is to construct a family of fundamental solutions for elliptic partial
differential operators with quaternion constant coefficients. The elements of such family are …
differential operators with quaternion constant coefficients. The elements of such family are …
Multi-parameter analysis of the obstacle scattering problem
We consider the acoustic field scattered by a bounded impenetrable obstacle and we study
its dependence upon a certain set of parameters. As usual, the problem is modeled by an …
its dependence upon a certain set of parameters. As usual, the problem is modeled by an …
A family of fundamental solutions of elliptic partial differential operators with real constant coefficients
M Dalla Riva - Integral Equations and Operator Theory, 2013 - Springer
We present a construction of a family of fundamental solutions for elliptic partial differential
operators with real constant coefficients. The elements of such a family are expressed by …
operators with real constant coefficients. The elements of such a family are expressed by …
Dependence of the layer heat potentials upon support perturbations
DEPENDENCE OF THE LAYER HEAT POTENTIALS UPON SUPPORT PERTURBATIONS 1.
Introduction Potential theory is a powerful tool for analy Page 1 Differential and Integral …
Introduction Potential theory is a powerful tool for analy Page 1 Differential and Integral …
Asymptotic behavior of integral functionals for a two‐parameter singularly perturbed nonlinear traction problem
R Falconi, P Luzzini, P Musolino - Mathematical Methods in the …, 2021 - Wiley Online Library
We consider a nonlinear traction boundary value problem for the Lamé equations in an
unbounded periodically perforated domain. The edges lengths of the periodicity cell are …
unbounded periodically perforated domain. The edges lengths of the periodicity cell are …
Shape analyticity and singular perturbations for layer potential operators
We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …
Multi-parameter analysis of the obstacle scattering problem
We consider the acoustic field scattered by a bounded impenetrable obstacle and we study
its dependence upon a certain set of parameters. As usual, the problem is modeled by an …
its dependence upon a certain set of parameters. As usual, the problem is modeled by an …
The layer potentials of some partial differential operators: real analytic dependence upon perturbations
MD RIVA - Further progress in analysis, 2009 - World Scientific
We introduce a particular single layer potential corresponding to the fundamental solution of
a given elliptic partial differential operator of order 2k with constant coefficients. If the …
a given elliptic partial differential operator of order 2k with constant coefficients. If the …