By George A. Anastassiou,Oktay Duman
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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 a variety of equations bobbing up in differential geometry, similar to within the research of minimum surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature.
Lately, the Fourier research equipment have expereinced a transforming into curiosity within the examine of partial differential equations. particularly, these thoughts according to the Littlewood-Paley decomposition have proved to be very effective for the examine of evolution equations. the current publication goals at featuring self-contained, country- of- the- paintings versions of these recommendations with functions to assorted sessions of partial differential equations: delivery, warmth, wave and Schrödinger equations.
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This quantity surveys the spectral houses of the spin Dirac operator. After a quick advent to spin geometry, it provides the most recognized estimates for Dirac eigenvalues on compact manifolds without or with boundaries.
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Additional resources for Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012: 41 (Springer Proceedings in Mathematics & Statistics)
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012: 41 (Springer Proceedings in Mathematics & Statistics) by George A. Anastassiou,Oktay Duman