Elliptic Partial Differential Equations: Volume 1: Fredholm by Vitaly Volpert

By Vitaly Volpert

The concept of elliptic partial differential equations has gone through a major improvement during the last centuries. including electrostatics, warmth and mass diffusion, hydrodynamics and lots of different functions, it has turn into essentially the most richly superior fields of arithmetic. This monograph undertakes a scientific presentation of the speculation of normal elliptic operators. the writer discusses a priori estimates, common solvability, the Fredholm estate, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. specific recognition is paid to elliptic difficulties in unbounded domain names that have now not but been sufficiently taken care of within the literature and which require a few particular methods. The publication additionally comprises an research of non-Fredholm operators and discrete operators in addition to broad historic and bibliographical comments

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The chosen issues and the author's point of discourse will make this publication a most valuable source for researchers and graduate scholars operating within the wide box of partial differential equations and applications.

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