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(2004), pp. 395-417.

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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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.
Pascucci, A.; Polidoro, Sergio
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/612709
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