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A priori estimates of the generalized solutions of nonlinear parabolic systems of higher order

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Literature cited

  1. G. I. Danilyuk and I. V. Skrypnik, “On the partial regularity of generalized solutions of quasielliptic parabolic systems,” Dokl. Akad. Nauk SSSR,250, No. 4, 790–793 (1980).

    Google Scholar 

  2. L. Nirenberg, “On elliptic partial differential equations,” Ann. Scuola Norm. Super. Pisa. Sci. Fis. Mat., Ser. 3,13, 115–162 (1959).

    Google Scholar 

  3. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).

  4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. (1968).

  5. M. I. Vishik, “On the solvability of boundary-value problems for quasilinear parabolic equations of higher orders,” Mat. Sb.,59, 289–325 (1962).

    Google Scholar 

  6. V. A. Solonnikov, “On the estimates in Lp of solutions of elliptic and parabolic systems,” Tr. Mat. Inst. Akad. Nauk SSSR,102, 137–160 (1967).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 283–288, May–June, 1987.

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Danilyuk, G.I., Skrypnik, I.V. A priori estimates of the generalized solutions of nonlinear parabolic systems of higher order. Ukr Math J 39, 214–219 (1987). https://doi.org/10.1007/BF01057220

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  • DOI: https://doi.org/10.1007/BF01057220

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