Elliptic Partial Differential Equations of Second Order

@inproceedings{Bassanini1997EllipticPD,
  title={Elliptic Partial Differential Equations of Second Order},
  author={P. Bassanini and A. Elcrat},
  year={1997}
}
We study in this chapter a class of partial differential equations that generalize and are to a large extent represented by Laplace’s equation. These are the elliptic partial differential equations of second order. A linear partial differential operator L defined by $$ Lu{\text{: = }}{a_{ij}}\left( x \right){D_{ij}}u + {b_i}\left( x \right){D_i}u + c\left( x \right)u $$ is elliptic on Ω ⊂ ℝ n if the symmetric matrix [a ij ] is positive definite for each x ∈ Ω. We have used the notation D… Expand
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References

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