Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

ON THE UNIQUENESS OF SOLUTION OF A FIRST ORDER NON-LINEAR COMPLEX ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN SOBOLEV SPACE

  • TAGHIZADEH, N. (Department of Mathematic Faculty of Science University of Guilan)
  • Received : 2005.01.16
  • Accepted : 2005.04.12
  • Published : 2005.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we discuss on the uniquenss of the solution of partial differential equations: (1) $${\frac{{\partial}w}{{\partial}{\bar{z}}}}=F(z,\;w,\;{\frac{{\partial}w}{{\partial}z}}}+G(z,\;w.{\bar{w})$$ in the sobolev space $W_{1,p}(D)$.

Keywords

References

  1. Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations seif Mshimba, A.;Tutschke, W.
  2. Math Nachr v.99 Construction of the solution to Dirichlet Boundary Value Problem in $W_{1,P}$(D) for Systems of Partial Differential Equations in the plane Seif Mshimba, A.
  3. Matem. Sbornik v.31 no.73 Elliptic first order System of Partial Differential Equations Boundary Value Problems Vekua, I.N.
  4. Generalized Analytic Functions Vekua, I.N.
  5. Lecture Notes in Mth v.798 Reduction of the Problem of Linear conjugation for First order Nonlinear Elliptic Systems in the plane to an Analogous Prblem for Holomorphic Function, Analytic Functions Kozubnik, 1979 Tutschke, W.;Lawrynowicz, J.(ed.)
  6. Complex Analysis Methods and Trends and Applications Lanckau, E.;Tutschke, W.
  7. Honam Mathematical Journal v.24 no.1 Generalization of a first order Nonlinear Complex Elliptic systems of Partial Differential Equations in Sobolev space Mamourian, A.;Taghizadeh, N.