LEADER 03271nam  22005655  450 
001 9910337656103321
005 20251113203006.0
010   $a3-319-90647-X
024 7 $a10.1007/978-3-319-90647-8
035   $a(CKB)4100000004818882
035   $a(DE-He213)978-3-319-90647-8
035   $a(MiAaPQ)EBC5387330
035   $a(PPN)22740680X
035   $a(MiAaPQ)EBC5917975
035   $a(EXLCZ)994100000004818882
100   $a20180509d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aEssentials of Partial Differential Equations $eWith Applications /$fby Marin Marin, Andreas Öchsner
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XI, 380 p.) 
311 08$a3-319-90646-1 
320   $aIncludes bibliographical references.
327   $aPART 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. .
330   $aThis 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.
606   $aEngineering mathematics
606   $aDifferential equations
606   $aMechanics, Applied
606   $aSolids
606   $aEngineering Mathematics
606   $aDifferential Equations
606   $aSolid Mechanics
615  0$aEngineering mathematics.
615  0$aDifferential equations.
615  0$aMechanics, Applied.
615  0$aSolids.
615 14$aEngineering Mathematics.
615 24$aDifferential Equations.
615 24$aSolid Mechanics.
676   $a515.353
700   $aMarin$b Marin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0878542
702   $aÖchsner$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910337656103321
996   $aEssentials of Partial Differential Equations$91961486
997   $aUNINA