Elliptic Boundary Value Problems in the Spaces of Distributions

1. Front Matter

   Pages i-xi

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2. Introduction

   • Yakov Roitberg

   Pages 1-17

3. Functional Spaces

   • Yakov Roitberg

   Pages 19-67

4. Space \(\tilde H^{s,p(r)} \left( \Omega \right)\)

   • Yakov Roitberg

   Pages 69-84

5. Elliptic Boundary-Value Problem

   • Yakov Roitberg

   Pages 85-93

6. Theorem on Complete Collection of Isomorphisms

   • Yakov Roitberg

   Pages 95-144

7. Elliptic Problems with Normal Boundary Conditions

   • Yakov Roitberg

   Pages 145-172

8. Traces of Generalized Solutions of Elliptic Equations on the Boundary of a Domain

   • Yakov Roitberg

   Pages 173-211

9. Local Increase in the Smoothness of Generalized Solutions of Elliptic Boundry-Value Problems. Green’s Functions

   • Yakov Roitberg

   Pages 213-247

10. Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems

    • Yakov Roitberg

    Pages 249-294

11. Elliptic Boundary-Value Problems with a Parameter

    • Yakov Roitberg

    Pages 295-322

12. Elliptic Boundary-Value Problems for Systems of Equations

    • Yakov Roitberg

    Pages 323-384

13. Back Matter

    Pages 385-420

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• Boundary value problem
• Operator theory
• distribution
• functional analysis
• partial differential equation
• partial differential equations

`The book is well written and deals well with a topic which requires great care and attention to detail. It is an excellent digest of known results for this problem and a valuable reference for those who wish to apply known results for problem (1) to various other disciplines.'
SIAM Review, 40:1 (1998)

• Chernigov Pedagogical Institute, Chernigov, Ukraine

  Yakov Roitberg

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