A fundamental solution for a subelliptic operator

A Fundamental Solution of N. Zeilon's Operator

A Max-plus Dual Space Fundamental Solution for a Class of Operator Differential Riccati Equations

A new fundamental solution semigroup for operator differential Riccati equationsis developed. This fundamental solution semigroup is constructed via an auxiliary finite horizonoptimal control problem whose value functional growth with respect to time horizon is determinedby a particular solution of the operator differential Riccati equation of interest. By exploiting semi-convex...

HERMITE OPERATOR AND SUBELLIPTIC OPERATORS IN Hn

In this note, we compute the fundamental solution for the Hermite operator with singularity at arbitrary point y ∈ R. We also apply this result to obtain the fundamental solution for the sub-Laplacian Lα = − ∑n j=1(X 2 j +X 2 j+n)− iαT on the Heisenberg group. In this note, we first derive the fundamental solution of the Hermite operator n ∑ j=1 ( λjx 2 j − ∂2 ∂xj ) in Rn, i.e., we are looking ...

Fundamental Steady state Solution for the Transversely Isotropic Half Space

Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...

semi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method

در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...