We adapt the iterative scheme by Moser, to prove that the weak solutions to an ultraparabolic equation, with measurable coefficients, are locally bounded functions. Due to the strong degeneracy of the equation, our method differs from the classical one in that it is based on some ad hoc Sobolev type inequalities for solutions
The Moser's iterative method for a class of ultraparabolic equations / Pascucci, A.; Polidoro, Sergio. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 6:3(2004), pp. 395-417. [10.1142/S0219199704001355]
The Moser's iterative method for a class of ultraparabolic equations
POLIDORO, Sergio
2004
Abstract
We adapt the iterative scheme by Moser, to prove that the weak solutions to an ultraparabolic equation, with measurable coefficients, are locally bounded functions. Due to the strong degeneracy of the equation, our method differs from the classical one in that it is based on some ad hoc Sobolev type inequalities for solutions
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