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THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
ANDREA PASCUCCI, SERGIO POLIDORO
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Source: Crossref
Published: Jun 1, 2004
DOI: 10.1142/s0219199704001355
Open original source ↗Source 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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