Abstract
In a bounded domain of the space ℝn +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear ultraparabolic equations with nonclassical and classical boundary conditions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 12, pp. 1616–1628, December, 2004.
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Lavrenyuk, S.P., Protsakh, N.P. Variational Ultraparabolic Inequalities. Ukr Math J 56, 1915–1931 (2004). https://doi.org/10.1007/s11253-005-0159-x
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DOI: https://doi.org/10.1007/s11253-005-0159-x