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Volumn 172, Issue 1, 1993, Pages 256-265

Existence and Uniqueness of Solutions to Semilinear Nonlocal Parabolic Equations

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EID: 38249006923     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1006/jmaa.1993.1022     Document Type: Article
Times cited : (76)

References (12)
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  • 2
    • 44949272606 scopus 로고
    • Theorems about the existence and uniqueness of a semilinear evolution nonlocal Cauchy problem
    • L. Byszewski, Theorems about the existence and uniqueness of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494-505.
    • (1991) J. Math. Anal. Appl. , vol.162 , pp. 494-505
    • Byszewski, L.1
  • 3
    • 0142009299 scopus 로고
    • Existence of a solution of a Fourier's nonlocal quasilinear parabolic problem
    • L. Byszewski, Existence of a solution of a Fourier's nonlocal quasilinear parabolic problem, J. Appl. Math. Stochastic Anal. 5, No. 1 (1992), 43-68.
    • (1992) J. Appl. Math. Stochastic Anal. , vol.5 , Issue.1 , pp. 43-68
    • Byszewski, L.1
  • 4
    • 84958300260 scopus 로고
    • Strong maximum and minimum principles for parabolic functional-differential problem with nonlocal inequalities [ui(T0, x) − k'] + Σi hi(x)[ui(Ti, x) − k'] ≤ 0. (≥ 0)
    • i, x) − k'] ≤ 0. (≥ 0), Ann. Polon. Math. 42 (1990), 87-96.
    • (1990) Ann. Polon. Math. , vol.42 , pp. 87-96
    • Byszewski, L.1
  • 5
    • 33746360682 scopus 로고
    • Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals
    • L. Byszewski, Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals, J. Appi. Math. Stochastic Anal. 3, No. 5 (1990), 65-79.
    • (1990) J. Appi. Math. Stochastic Anal. , vol.3 , Issue.5 , pp. 65-79
    • Byszewski, L.1
  • 6
    • 44049118778 scopus 로고
    • Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
    • L. Byszewski, Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems, J. Math. Anal. Appl. 165 (1992), 472-478.
    • (1992) J. Math. Anal. Appl. , vol.165 , pp. 472-478
    • Byszewski, L.1
  • 7
    • 84972498377 scopus 로고
    • On nonlocal problems for parabolic equations
    • J. Chabrowski, On nonlocal problems for parabolic equations, Nagoya Math. J. 93 (1984), 109-131.
    • (1984) Nagoya Math. J. , vol.93 , pp. 109-131
    • Chabrowski, J.1
  • 8
    • 0000735195 scopus 로고
    • Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions
    • P Hess, Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions, J. Differential Integral Equations 68 (1987), 320-331.
    • (1987) J. Differential Integral Equations , vol.68 , pp. 320-331
    • Hess, P.1
  • 9
    • 0009724059 scopus 로고
    • Nonlocal boundary value problems for parabolic equations
    • [In Russian]
    • A. A. KEREFOV, Nonlocal boundary value problems for parabolic equations, Differ-entsial'nye Uravneniya 15 (1979), 74-78. [In Russian]
    • (1979) Differ-Entsial'nye Uravneniya , vol.15 , pp. 74-78
    • Kerefov, A.A.1
  • 12
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    • Nonlocal parabolic problems and the inverse heat-conduction problem
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    • P. N. Vabishchevich, Nonlocal parabolic problems and the inverse heat-conduction problem, Differentsialnye Uravneniya 17 (1981), 1193-1199. [In Russian]
    • (1981) Differentsialnye Uravneniya , vol.17 , pp. 1193-1199
    • Vabishchevich, P.N.1


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