LEADER 03425nam  2200661Ia 450 
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010   $a1-281-23169-X
010   $a9786611231699
010   $a3-540-76781-9
024 7 $a10.1007/978-3-540-76781-7
035   $a(CKB)1000000000492129
035   $a(EBL)336743
035   $a(OCoLC)233973697
035   $a(SSID)ssj0000311937
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035   $a(PQKBTitleCode)TC0000311937
035   $a(PQKBWorkID)10330767
035   $a(PQKB)10445447
035   $a(DE-He213)978-3-540-76781-7
035   $a(MiAaPQ)EBC336743
035   $a(PPN)123743028
035   $a(Au-PeEL)EBL336743
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035   $a(CaONFJC)MIL123169
035   $a(EXLCZ)991000000000492129
100   $a20070322d2008      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 00$aTransport equations and multi-D hyperbolic conservation laws$b[electronic resource] /$fLuigi Ambrosio ... [et al.] ; editors, Fabio Ancona ... [et al.]
205   $a1st ed. 2008.
210   $aBerlin ;$aNew York $cSpringer$dc2008
215   $a1 online resource (142 p.)
225 1 $aLecture notes of the Unione Matematica Italiana,$x1862-9113 ;$v5
300   $aDescription based upon print version of record.
311   $a3-540-76780-0 
320   $aIncludes bibliographical references and index.
327   $aI -- Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields -- II -- A Note on Alberti's Rank-One Theorem -- III -- Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws.
330   $aThe theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. Geometric and measure theoretic tools play a key role to obtain some fundamental advances: the well-posedness theory of linear transport equations with irregular coefficients, and the study of the BV-like structure of bounded entropy solutions to multi-dimensional scalar conservation laws. The volume contains surveys of recent deep results, provides an overview of further developments and related open problems, and will capture the interest of members both of the hyperbolic and the elliptic community willing to explore the intriguing interplays that link their worlds. Readers should have basic knowledge of PDE and measure theory.
410  0$aLecture notes of the Unione Matematica Italiana ;$v5.
606   $aConservation laws (Mathematics)
606   $aDifferential equations, Hyperbolic
608   $aElectronic books.
615  0$aConservation laws (Mathematics)
615  0$aDifferential equations, Hyperbolic.
676   $a515/.782
701   $aAmbrosio$b Luigi$044009
701   $aAncona$b Fabio$f1964-$0738757
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910451718003321
996   $aTransport equations and multi-D hyperbolic conservation laws$91958022
997   $aUNINA