03539nam 22005655 450 991033765610332120250609110742.03-319-90647-X10.1007/978-3-319-90647-8(CKB)4100000004818882(DE-He213)978-3-319-90647-8(MiAaPQ)EBC5387330(PPN)22740680X(MiAaPQ)EBC5917975(EXLCZ)99410000000481888220180509d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierEssentials of Partial Differential Equations With Applications /by Marin Marin, Andreas Öchsner1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XI, 380 p.) 3-319-90646-1 Includes bibliographical references.PART I: Quasilinear equations -- Operators of second order -- The theory of potential -- Elliptic operators -- Operational calculus -- Parabolic equations -- Hyperbolic equations -- Part II: Elements of distributions -- Integral formulas -- Equations of the first order -- Equations of second order -- Harmonic functions -- Weak solutions -- Regularity of the solutions -- Parabolic equations -- Hyperbolic equations. .This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.Engineering mathematicsDifferential equations, PartialMechanicsMechanics, AppliedEngineering Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/T11030Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Engineering mathematics.Differential equations, Partial.Mechanics.Mechanics, Applied.Engineering Mathematics.Partial Differential Equations.Solid Mechanics.515.353Marin Marinauthttp://id.loc.gov/vocabulary/relators/aut878542Öchsner Andreasauthttp://id.loc.gov/vocabulary/relators/autBOOK9910337656103321Essentials of Partial Differential Equations1961486UNINA