theorem 10.103 Uniqueness in the entropy class

Rests on

• 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 definition 10.93 Scalar conservation law ¶
        • depends_on definition 10.2 Linear, semilinear, quasilinear ¶
        • depends_on proposition 10.15 Method of characteristics, first order ¶
      • depends_on definition 10.83 Weak solution ¶
        • depends_on definition 17.38 Schwartz space and tempered distributions ¶
        • depends_on definition 10.3 Principal part and principal symbol ¶
    • depends_on theorem 10.96 Rankine–Hugoniot condition ¶
      • depends_on definition 10.95 Weak solution of a conservation law ¶ ↺
      • depends_on theorem 7.131 Green ¶
        • depends_on definition 7.127 Simple regions ¶
        • depends_on remark 7.128 What the derivations below take as given ¶
        • depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
        • proves proof ch:05-real-analysis@proof-77 ¶
      • proves proof ch:08-pdes@proof-40 ¶
  • depends_on definition 10.95 Weak solution of a conservation law ¶ ↺
• depends_on definition 10.95 Weak solution of a conservation law ¶ ↺
• proves proof app:A-long-proofs@proof-99 ¶
• proves proof ch:08-pdes@prooflink-5 ¶

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