By Michael Eugene Taylor

ISBN-10: 0387946527

ISBN-13: 9780387946528

The 3rd of 3 volumes on partial differential equations, this can be dedicated to nonlinear PDE. It treats a few equations of classical continuum mechanics, together with relativistic models, in addition to quite a few equations coming up in differential geometry, comparable to within the research of minimum surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. furthermore, a few nonlinear diffusion difficulties are studied. It additionally introduces such analytical instruments because the thought of L Sobolev areas, H lder areas, Hardy areas, and Morrey areas, and likewise a improvement of Calderon-Zygmund thought and paradifferential operator calculus. The booklet is aimed toward graduate scholars in arithmetic, and at expert mathematicians with an curiosity in partial differential equations, mathematical physics, differential geometry, harmonic research and complicated research. ^

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