Geodesic
About uniqueness of the solution of semi-integral problem for one equation of the fourth order
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 98-102 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the rectangular domain, formed by the characteristic planes of the equation of the fourth order with twofold higher order partial derivative, sufficient conditions of uniqueness of solution of semi-integral problem are calculated. These conditions are written in terms of coefficients of the equation, and the carried reasonings are based on the method of a priori estimate.
Mots-clés : pseudoparabolic equations
Keywords: Gurs task, integral conditions. 
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     title = {About uniqueness of the solution of semi-integral problem for one equation of the fourth order},
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     pages = {98--102},
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     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_4_a11/}
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E. A. Utkina. About uniqueness of the solution of semi-integral problem for one equation of the fourth order. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 98-102. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a11/

[1] Soldatov A. P., Shkhanukov M. Kh., “Kraevye zadachi s obschim nelokalnym usloviem A. A. Samarskogo dlya psevdoparabolicheskikh uravnenii vysokogo poryadka”, DAN SSSR, 297:3 (1987), 547–552 | MR

[2] Utkina E. A., “Ob odnom uravnenii v chastnykh proizvodnykh chetvertogo poryadka”, Differents. uravneniya. Minsk, 1999 ; Деп. в ВИНИТИ 28.06.99, No 2059–В99, 13 с. | Zbl

[3] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazanskoe matem. o-vo, Kazan, 2001

[4] Nakhusheva Z. A., “Ob odnoi nelokalnoi zadache dlya uravnenii v chastnykh proizvodnykh”, Differents. uravneniya, 22:1 (1986), 1166–1179 | MR

[5] Pulkina L. S., “O razreshimosti v $L_2$ nelokalnoi zadachi s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differents. uravneniya, 36:2 (2000), 279–280 | MR

[6] Golubeva N. D., Pulkina L. S., “Nelokalnaya zadacha s integralnymi usloviyami”, Matem. zametki, 59:3 (1996), 324–326 | DOI | MR

[7] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 408 pp. | MR