Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus |
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Authors: | SD Ivasyshen V A Litovchenko |
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Institution: | (1) Department of Mechanical Engineering, POSTECH, San 31 Hyojading, 790-784 Pohang, Korea;(2) Department of Electrical Engineering, National Taiwan University, 106 Taipei, Taiwan, R.O.C. |
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Abstract: | We study the properties of the fundamental solution and establish the correct solvability of the Cauchy problem for a class
of degenerate Kolmogorov-type equations with { p?,h? } \left\{ {\overrightarrow p, \overrightarrow h } \right\} -parabolic part with respect to the main group of variables and nonpositive vector genus in the case where the solutions are
infinitely differentiable functions and their initial values are generalized functions in the form of Gevrey ultradistributions. |
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