On a nonlocal problem for nonlinear parabolic equation

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system’s guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2014.1.7422 On a nonlocal problem for nonlinear parabolic equation Takhirov J. O. , Turaev R. N. Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 1. Abstract: A boundary problem for nonlinear parabolic equation with nonlocal boundary conditions is considered. Some a priori estimates are derived to establish the global existence of the solution. Uniqueness and existence theorems are proved. Keywords: non-local problem, apriori estimations, extremum principle, Holder's condition, nonlinear parabolic equation, Shauder's principle, existence and uniqueness of solution Language: Russian Download the full text For citation: Takhirov J. O., Turaev R. N. On a nonlocal problem for nonlinear parabolic equation. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 1, pp.42-49. DOI 10.23671/VNC.2014.1.7422 + References 1. Samarskij A. A., Mihajlov A. P. Matematicheskoe Modelirovanie: Idei. Metody. Primery [Mathematical Modelling: Ideas. Methods. Examples], Moskva, Fizmatlit, 1997, 320 p. (Russian). 2. Samarskij A. A. i dr. Rezhimy s Obostreniem v Zadachah dlja Kvazilinejnyh Parabolicheskih Uravnenij Parabolicheskih Uravnenij, Moskva, Nauka, 1987, 477 p. (Russian). 3. Ladyzhenskaja O. A., Solonnikov V. A., Ural'ceva N. N. Linejnye i Kvazilinejnye Uravnenija Parabolicheskogo Tipa, Moskva, Nauka, 1967, 736 p. (Russian). 4. Kruzhkov S. N. Nonlinear parabolic equations with two independent variable. Tr. Mosk. Mat. Obshh-va [Trans. of the Moscow Math. Society], 1967, vol. 16, pp. 329-346 (Russian). 5. Kruzhkov S. N. Kvazilinejnye parabolicheskie uravnenija i sistemy s dvumja nezavisimymi peremennymi. Tr. Seminara im. I. G. Petrovskogo, 1979, pp. 217-272 (Russian). 6. Fridman A. Uravnenija s Chastnymi Proizvodnymi Parabolicheskogo Tipa [Partial Differential Equations of Parabolic Type], Moskva, Mir, 1968, 428 p. (Russian). 7. Krylov N. V. Nelinejnye Jellipticheskie i Parabolicheskie Uravnenija Vtorogo Porjadka, Moskva, Nauka, 1985, 374 p. 8. Hudjaev S. I. Pervaja kraevaja zadacha dlja nelinejnyh parabolicheskih uravnenij Dokl. AN SSSR, 1963, vol. 149, no. 3, pp. 535-538 (Russian). 9. Nahushev A. M. Uravnenija Matematicheskoj Biologii, Moskva, Vysshaja Shkola, 1995, 301 p. (Russian). ← Contents of issue


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