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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 145 - 161 (17page)
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In this article, we study the solvability of the Cauchy-Dirichlet problem for a class of nonlinear parabolic equations with nonstandard growth and nonlocal terms. We prove the existence of weak solutions of the considered problem under more general conditions. In addition, we investigate the behavior of the solution when the problem is homogeneous.
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참고문헌 (35)
참고문헌 신청
R. A. Adams / 1975 / Sobolev spaces / Academic Press
N. V. Afanas’eva / 2005 / Theorems on the existence and nonexistence of solutions to the Cauchy problem for degenerate parabolic equations with a nonlocal source / Ukrain. Mat. Zh 57(11):1443~1464
Y. Alkhutov / 2009 / Parabolic equations with variable order of nonlinearity / Collection of works of Institute of Mathematics NAS of Ukraine 6:23~50
J. R. Anderson / 1997 / Global existence for degenerate parabolic equations with a non-local forcing / Math. Methods Appl. Sci 20:1069~1087
S. N. Antontsev / 2005 / A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions / Nonlinear Anal. 60:515~545
N. V. Afanas’eva / 2005 / Theorems on the existence and nonexistence of solutions to the Cauchy problem for degenerate parabolic equations with a nonlocal source / Ukrain. Mat. Zh 57(11):1443~1464
Y. Alkhutov / 2009 / Parabolic equations with variable order of nonlinearity / Collection of works of Institute of Mathematics NAS of Ukraine 6:23~50
J. R. Anderson / 1997 / Global existence for degenerate parabolic equations with a non-local forcing / Math. Methods Appl. Sci 20:1069~1087
S. N. Antontsev / 2005 / A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions / Nonlinear Anal. 60:515~545
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