CONSERVATION LAWS, A-PRIORI BOUNDS
Noether Theorem:
Energy,
Linear Momentum
Angular Momentum,
Charge
Symmetry reductions generate additional Conservation Laws
The basic physical equations have a limited number Conservation Laws.
The Energy provides the only useful, local, a-priori estimate.
Elliptic and diffusive equations possess additional a-priori estimates.
PDE AS A UNIFIED SUBJECT
To any symmetry of the Lagrangean there corresponds a Conservation Law.
Are there other stronger a-priori bounds
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