Publication Cover
Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 4
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Original Articles

Point control: approximations of parabolic problems and pseudo parabolic problems

Pages 251-263 | Received 28 Aug 1980, Published online: 10 May 2007

References

  • Adams , K. A . 1975 . Soholer Spacer , New York : Academic Preus .
  • Barenbiaii , G.I , Zheiiov , P and Kocliina , I.N . 1960 . Basic concepts in the theory ol seepage of homogeneous liquids in fissured rocks . J. Appl. Math. Mech , 24 : 852 – 864 .
  • Carrol , R.W and Showalter , R.E . 1976 . Singular and Degenerate Cauchy Problems , Academic Press .
  • Gringarten , A. C , Ramey , H and Jr . 1973 . The use of source and Green's functions in solving unsteady-flow problems in reserviors . Soc. Pet. Eng. J , 13 : 285 – 296 .
  • Lagnese , J . 1973 . Approximation of solutions of differential equations in Hilbert space . J. Math. Soc. Japan , 25 : 132 – 143 .
  • Lions , J. L . 1971 . Optimal Control of Systems Governed by Partial Differential Equations , New York : S. K. Mitter, Springer-Verlag .
  • Lions , J. L . 1961 . Equations Differentielles Operationnelles et Problems aux Limites , Springer-Veriag : Berlin .
  • Lions , J. L and Magenes , E . 1972 . Non-Homogeneous Boundary Value Problems and A^nlications I , New York : P. Kenneth Springer-Veriag .
  • McKinley , R. M , Vela , S and Carlton , L. A . 1968 . A field application of pulse-testing for detailed reservoir description . Soc. Pet. Eng. J. , 20 : 313 – 321 .
  • Showalter , R. E and Ting , T. W . 1970 . Pseudo-parabolic partial differential equations . SI AM J. Math. Anal , 1 : 1 – 26 .
  • White , L.W . Convergence properties of optimal controls of pseudo-parabolic problems . J. Appl. Math. Opt .
  • White , L. W . 1979 . Control problems governed by a pseudo-parabolic partial differential equation . Amer. Math. Soc. Trans , 250 : 235 – 246 .

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