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Article | REF: AF190 V1

Partial differential equations

Authors: Claude BARDOS, Thierry PAUL

Publication date: October 10, 2010

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3. Laplacian in whole space or in a domain with boundaries

3.1 Introduction to the Laplacian

In R n , the Laplacian is the operator

This operator, already introduced as an essential element of the Schrödinger equation, also appears in geometry, physics (in addition to quantum physics, in the description of macroscopic phenomena), and...

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Laplacian in whole space or in a domain with boundaries
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