Prove that the Laplacian operator defines a linear function on the vector space of twice continuously differentiable

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Prove that the Laplacian operator
a²f, Дlf]%3 a²f ду? Әх2

defines a linear function on the vector space of twice continuously differentiable functions f(x, y).

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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