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An Almost-Everywhere Solution to a Mixed Problem for One Degenerate Linear Evolution System

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References

  1. Tersenov S. A., “On the theory of hyperbolic equations with data on the line of type degeneration,” Sibirsk. Mat. Zh., 2, No. 6, 913–935 (1961).

    Google Scholar 

  2. Tersenov S. A., “On a singular Cauchy problem for a hyperbolic system of equations,” Dokl. Akad. Nauk SSSR, 205, No. 5, 1046–1049 (1972).

    Google Scholar 

  3. Baranovskii F. T., “A mixed boundary value problem for a hyperbolic equation with degenerate principal part,” Mat. Sb., 115, No. 4, 560–576 (1981).

    Google Scholar 

  4. Baranovskii F. T., “On the Cauchy problem for a hyperbolic equation with degeneration on the initial plane and modified initial data,” Sibirsk. Mat. Zh., 18, No. 4, 926–933 (1977).

    Google Scholar 

  5. Baranovskii F.T., “A mixed problem for a strongly degenerate hyperbolic equation with modified initial data,” Ukrain. Math. Zh., 30, No. 1, 3–15 (1978).

    Google Scholar 

  6. Smirnov M. M., Degenerate Elliptic and Parabolic Equations [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  7. Bryukhanov V. A., “On a mixed problem for a hyperbolic equation degenerate on a part of the boundary of a region,” Differentsial0nye Uravneniya, 8, No. 1, 3–6 (1972).

    Google Scholar 

  8. Bryukhanov V. A., “On the characteristic Cauchy problem for a class of hyperbolic equations degenerate on the manifold of initial data,” in: Partial Differential Equations [in Russian], Novosibirsk, 1987, pp. 21–34.

  9. Bubnov B. A“A mixed pboblem for some parabolic-hyperbolic equations,” Differentsial'nYe Uravneniya, 12, No. 3 494–501

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Lavrenyuk, S.P. An Almost-Everywhere Solution to a Mixed Problem for One Degenerate Linear Evolution System. Siberian Mathematical Journal 42, 64–74 (2001). https://doi.org/10.1023/A:1004841526128

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