In this chapter we introduce Hilbert space techniques to study the Dirichlet problem. This approach is not only useful for the Dirichlet problem, it also provides a powerful tool to study partial differential equations.

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The Dirichlet Problem: \(L^2\) Techniques

  • Mei-Chi Shaw,
  • Charles M. Stanton

摘要

In this chapter we introduce Hilbert space techniques to study the Dirichlet problem. This approach is not only useful for the Dirichlet problem, it also provides a powerful tool to study partial differential equations.