We adapt the iterative scheme by Moser, to prove that the weak solutions to an ultra-parabolic equation, with measurable coecients, are locally bounded functions. Due to the strong degeneracy of the equation, our method diers 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:(2004), pp. 395-417. [10.1142/S0219199704001355]
The Moser's iterative method for a class of ultraparabolic equations
PASCUCCI, ANDREA;
2004
Abstract
We adapt the iterative scheme by Moser, to prove that the weak solutions to an ultra-parabolic equation, with measurable coecients, are locally bounded functions. Due to the strong degeneracy of the equation, our method diers from the classical one in that it is based on some ad hoc Sobolev type inequalities for solutions.File in questo prodotto:
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