Parabolic semilinear differential problem with nonlocal conditions in an unbounded domain

• Autorzy: Urbańska K.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the mixed problem for the semilinear parabolic equation of the second order in an unbounded domain with some nonlocal boundary data. We prove that there exists the unique global time solution for any locally integrable initial data and right-hand term: hence, no growth condition at infinity for these functions is required.

Słowa kluczowe

EN

Cauchy problem; semilinear parabolic equations

PL

problem Cauchy'ego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 369--382
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Urbańska K.

• Institute of Mathematics, Technical University, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

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• [6] H. Brezis, Semilinear equations in Rn without condition at infinity, Appl. Math. Optim., 1984, V 12. 271-282.
• [7] M. M. Bokalo, On the existence and uniqueness of a solution of the problem without conditions at infinity for semilinear parabolic equations in unbounded domain, Siberian Math. J. 1993, V 34. N 4. (in Russian).
• [8] M. M. Bokalo, Boundary value problem for semilinear parabolic equations without conditions at infinity in unbounded domain, Siberian Math. J. 1996, V 37. N 5. 977-985 (in Russian).
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