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200 14$aThe existence of multi-dimensional shock fronts /$fAndrew Majda
210  1$aProvidence, R.I., USA :$cAmerican Mathematical Society,$d[1983]
210  4$d©1983
215   $a1 online resource (101 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 281
300   $aDescription based upon print version of record.
311   $a0-8218-2281-0 
320   $aBibliography: pages 93.
327   $a""TABLE OF CONTENTS""; ""A?0. INTRODUCTION""; ""A?1. STRUCTURAL CONDITIONS AND SHOCK FRONT INITIAL DATA: SOME PRELIMINARY FACTS""; ""A?2. THE MAP TO A FIXED DOMAIN, COMPATIBILITY CONDITIONS, AND AN APPROXIMATE SOLUTION""; ""2.A Reformulation by Mapping to a Fixed Domain""; ""2.B Derivation of the Higher Order Compatibility Conditions""; ""2.C Large Classes of Initial Data Satisfying the Compatibility Solution""; ""2.D Construction of an Approximate Solution""; ""A?3. THE ITERATION SCHEME""; ""A?4. CONVERGENCE OF THE ITERATION SCHEME""
327   $a""A?4.A High Norm Boundedness a??? The Proof of Proposition 4.1""""A?4.B The Proof of Proposition 4.2""; ""A?5. THE MAIN LINEAR ESTIMATE""; ""APPENDIX. NONLINEAR CALCULUS INEQUALITIES ON SOBOLEV SPACES WEIGHTED WITH TIME""; ""A.A: A Summary of Standard Calculus Inequalities""; ""A.B: Nonlinear Commutator Estimates a??? The Proof of Lemma 5.5""; ""A.C: Estimates for Normal Derivatives a??? Lemma 5.3 and Lemmas 2.2, 2.3, and 3.2""; ""BIBLIOGRAPHY""
410  0$aMemoirs of the American Mathematical Society ;$vno. 281.
606   $aShock waves
606   $aDifferential equations, Hyperbolic$xNumerical solutions
606   $aConservation laws (Physics)
615  0$aShock waves.
615  0$aDifferential equations, Hyperbolic$xNumerical solutions.
615  0$aConservation laws (Physics)
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