lemma A.109 Domination

open in the book · appendices/A-long-proofs.tex:6329 · p. 2846

Rests on

depends_on definition A.107 Majorant ¶
- depends_on equation 10.2 eq:pde-multi-index ¶
depends_on lemma A.104 The recursion ¶
- depends_on definition A.103 First-order quasilinear system with zero data ¶
  - depends_on definition A.102 Normal Cauchy problem of order $k$ ¶
    - depends_on definition 10.1 Partial differential equation; order ¶
      - depends_on definition 7.98 Functions of class $C^{1}$ ¶
      - depends_on definition 6.2 Open set ¶
    - depends_on proposition 10.11 What a characteristic surface is ¶
      - depends_on definition 10.10 Characteristic surface ¶
      - depends_on theorem 10.8 The type is a coordinate invariant ¶
      - proves proof ch:08-pdes@proof-2 ¶
  - depends_on definition 10.2 Linear, semilinear, quasilinear ¶
    - depends_on definition 10.1 Partial differential equation; order ¶ ↺
- depends_on equation 10.2 eq:pde-multi-index ¶ ↺
- proves proof app:A-long-proofs@proof-67 ¶
proves proof app:A-long-proofs@proof-70 ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Majorant	declared	appendices/A-long-proofs.tex:6341
`depends_on`	→	The recursion	declared	appendices/A-long-proofs.tex:6341
`depends_on`	←	Cauchy–Kovalevskaya, first-order form	declared	appendices/A-long-proofs.tex:6485
`proves`	←	app:A-long-proofs@proof-70	declared	appendices/A-long-proofs.tex:6345