proposition A.162 The limit $\delta\to0$

Rests on

• depends_on lemma A.157 Two elementary identities ¶
  • depends_on definition A.150 Kruzhkov entropy pair ¶
    • depends_on definition 10.93 Scalar conservation law ¶
      • depends_on definition 10.2 Linear, semilinear, quasilinear ¶
        • depends_on definition 10.1 Partial differential equation; order ¶
      • depends_on proposition 10.15 Method of characteristics, first order ¶
        • depends_on definition 10.2 Linear, semilinear, quasilinear ¶ ↺
        • depends_on proposition 7.31 Chain rule ¶
        • proves proof ch:08-pdes@proof-5 ¶
    • depends_on definition 10.101 Entropy pair; entropy inequality ¶
      • depends_on definition 10.99 Entropy condition ¶
        • depends_on definition 10.95 Weak solution of a conservation law ¶
        • depends_on theorem 10.96 Rankine–Hugoniot condition ¶
      • depends_on definition 10.95 Weak solution of a conservation law ¶ ↺
  • depends_on equation A.320 eq:app-kruzhkov-bounds ¶
  • proves proof app:A-long-proofs@proof-93 ¶
• depends_on proposition A.160 The cancellation ¶
  • depends_on equation A.335 eq:app-kruzhkov-psi ¶
  • depends_on proposition A.159 The doubled inequality ¶
    • depends_on lemma A.157 Two elementary identities ¶ ↺
    • depends_on proposition A.156 The Kruzhkov inequality ¶
      • depends_on definition A.150 Kruzhkov entropy pair ¶ ↺
      • depends_on definition 10.101 Entropy pair; entropy inequality ¶ ↺
      • depends_on equation 10.92 eq:pde-entropy-inequality ¶
      • proves proof app:A-long-proofs@proof-92 ¶
    • proves proof app:A-long-proofs@proof-94 ¶
  • proves proof app:A-long-proofs@proof-95 ¶
• proves proof app:A-long-proofs@proof-96 ¶

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