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On the dirichlet problem for fully nonlinear parabolic equations

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Abstract

The paper describes a new class of fully nonlinear second-order parabolic equations. The peculiarity of this class in the nonlinear dependence of the equations both on the first-order time derivative and second-order spatial ones. Application of the classical continuity method to solve the first initial-boundary value problem for such equations is also discussed. Bibliography: 15 titles.

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Authors
  1. N. M. Ivochkina
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Published inZapiski Nauchnykh Seminarov POMI, Vol. 233, 1996, pp. 101–111.

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Ivochkina, N.M. On the dirichlet problem for fully nonlinear parabolic equations. J Math Sci 93, 689–696 (1999). https://doi.org/10.1007/BF02366847

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  • DOI: https://doi.org/10.1007/BF02366847

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