Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
On First and Second Order Planar Elliptic Equations with Degeneracies
 
Abdelhamid Meziani :  Florida International University, Miami, FL
On First and Second Order Planar Elliptic Equations with Degeneracies
eBook ISBN:  978-0-8218-8750-9
Product Code:  MEMO/217/1019.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Add to cart
On First and Second Order Planar Elliptic Equations with Degeneracies
Click above image for expanded view
On First and Second Order Planar Elliptic Equations with Degeneracies
Abdelhamid Meziani :  Florida International University, Miami, FL
eBook ISBN:  978-0-8218-8750-9
Product Code:  MEMO/217/1019.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 217; 2012; 77 pp
    MSC: Primary 35; Secondary 30

    This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Preliminaries
    • 2. Basic Solutions
    • 3. Example
    • 4. Asymptotic behavior of the basic solutions of $\mathcal {L}$
    • 5. The kernels
    • 6. The homogeneous equation $\mathcal {L} u=0$
    • 7. The nonhomogeneous equation $\mathcal {L} u=F$
    • 8. The semilinear equation
    • 9. The second order equation: Reduction
    • 10. The homogeneous equation $Pu=0$
    • 11. The nonhomogeneous equation $Pu=F$
    • 12. Normalization of a Class of Second Order Equations with a Singularity
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 217; 2012; 77 pp
MSC: Primary 35; Secondary 30

This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
  • Chapters
  • Introduction
  • 1. Preliminaries
  • 2. Basic Solutions
  • 3. Example
  • 4. Asymptotic behavior of the basic solutions of $\mathcal {L}$
  • 5. The kernels
  • 6. The homogeneous equation $\mathcal {L} u=0$
  • 7. The nonhomogeneous equation $\mathcal {L} u=F$
  • 8. The semilinear equation
  • 9. The second order equation: Reduction
  • 10. The homogeneous equation $Pu=0$
  • 11. The nonhomogeneous equation $Pu=F$
  • 12. Normalization of a Class of Second Order Equations with a Singularity
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Powered by MathJax
Please select which format for which you are requesting permissions.