TY - BOOK AU - Komech,Alexander AU - Komech,Andrew ED - SpringerLink (Online service) TI - Principles of Partial Differential Equations T2 - Problem Books in Mathematics, SN - 9781441910967 AV - QA299.6-433 U1 - 515 23 PY - 2009/// CY - New York, NY PB - Springer New York KW - Global analysis (Mathematics) KW - Differential equations, partial KW - Analysis KW - Partial Differential Equations N1 - Hyperbolic equations. Method of characteristics -- The Fourier method -- Distributions and Green’s functions -- Fundamental solutions and Green’s functions in higher dimensions -- Erratum N2 - This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions.  The approach is problem-oriented, giving the reader an opportunity to master solution techniques.  The theoretical part is rigorous and with important details presented with care.  Hints are provided to help the reader restore the arguments to their full rigor.  Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study UR - https://doi.org/10.1007/978-1-4419-1096-7 ER -