Partial Differential Equations II: Qualitative Studies of by Michael Taylor

By Michael Taylor

This moment within the sequence of 3 volumes builds upon the fundamental idea of linear PDE given in quantity 1, and pursues extra complex issues. Analytical instruments brought right here comprise pseudodifferential operators, the useful research of self-adjoint operators, and Wiener degree. The ebook additionally develops easy differential geometrical thoughts, concentrated approximately curvature. subject matters lined contain spectral thought of elliptic differential operators, the speculation of scattering of waves via hindrances, index concept for Dirac operators, and Brownian movement and diffusion.

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