Fundamental Solutions and Local Solvability for Nonsmooth Hormander's Operators

Released on by Marco Bramanti
preview-18

  • Fundamental Solutions and Local Solvability for Nonsmooth Hormander's Operators Book Detail

  • Author : Marco Bramanti
  • Release Date : 2017-09-25
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 92
  • ISBN 13 : 1470425599
  • File Size : 19,19 MB
DOWNLOAD BOOK

Fundamental Solutions and Local Solvability for Nonsmooth Hormander's Operators by Marco Bramanti PDF Summary

Book Description: The authors consider operators of the form in a bounded domain of where are nonsmooth Hörmander's vector fields of step such that the highest order commutators are only Hölder continuous. Applying Levi's parametrix method the authors construct a local fundamental solution for and provide growth estimates for and its first derivatives with respect to the vector fields. Requiring the existence of one more derivative of the coefficients the authors prove that also possesses second derivatives, and they deduce the local solvability of , constructing, by means of , a solution to with Hölder continuous . The authors also prove estimates on this solution.

Disclaimer: www.yourbookbest.com does not own Fundamental Solutions and Local Solvability for Nonsmooth Hormander's Operators books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Geometric Methods in PDE’s

Geometric Methods in PDE’s

File Size : 9,9 MB
Total View : 2911 Views
DOWNLOAD

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent ye

Hormander Operators

Hormander Operators

File Size : 5,5 MB
Total View : 7085 Views
DOWNLOAD

Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are u