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math.AP2023
Remarks on the linear wave equation
John M. Ball
We make some remarks on the linear wave equation concerning the existence and uniqueness of weak solutions, satisfaction of the energy equation, growth properties of solutions, the…
math.AP2023
Image comparison and scaling via nonlinear elasticity
John M. Ball, Christopher L. Horner
A nonlinear elasticity model for comparing images is formulated and analyzed, in which optimal transformations between images are sought as minimizers of an integral functional. Th…