The Jacobi identity in groups.
Seymour Bachmuth, Jacques Lewin (1964)
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K.N. Srivastava (1963)
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We investigate the regularity of solutions of first order Hamilton-Jacobi equation with super linear growth in the gradient variable. We show that the solutions are locally Hölder continuous with Hölder exponent depending only on the growth of the Hamiltonian. The proof relies on a reverse Hölder inequality.
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