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**APA Citation**

Payne, Lawrence Edward.
(1975)
*Improperly posed problems in partial differential equations*Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),

**MLA Citation**

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# Improperly posed problems in partial differential equations [electronic resource] /

### L.E. Payne.

Main Author: | Payne, Lawrence Edward. |
---|---|

Published: | Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1975. |

Series: |
CBMS-NSF regional conference series in applied mathematics ; 22. |

Topics: | Differential equations, Partial - Improperly posed problems. |

Tags: | Add |

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005 | 20140622021327.0 |

006 | m e d |

007 | cr bn |||m|||a |

008 | 110420s1975 pau ob 100 0 eng d |

010 | |z 75329085 |

020 | |a9781611970463 (electronic bk.) |

020 | |z9780898710199 (pbk.) |

020 | |z0898710197 (pbk.) |

028 | 50|aCB22|bSIAM |

035 | |a(CaBNVSL)gtp00547250 |

035 | |a(SIAM)9781611970463 |

035 | |a(IITdb)839765 |

040 | |aCaBNVSL|cCaBNVSL|dCaBNVSL|dIITdb |

050 | 4|aQA377|b.P33 1975eb |

082 | 04|a515.3/53|219 |

100 | 1 |aPayne, Lawrence Edward. |

245 | 10|aImproperly posed problems in partial differential equations|h[electronic resource] /|cL.E. Payne. |

260 | |aPhiladelphia, Pa. :|bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),|c1975. |

300 | |a1 electronic text (v, 76 p.) :|bdigital file. |

490 | 1 |aRegional conference series in applied mathematics ;|v22 |

500 | |aLectures presented at a summer regional conference held at the University of New Mexico in May 1974. |

504 | |aIncludes bibliographical references (p. 62-76). |

505 | 0 |aIntroduction -- Methods and examples -- Second order operator equations -- Remarks on continuous dependence on boundary data, coefficients, geometry, and values of the operator -- The Cauchy problem for elliptic equations -- Singular perturbations in improperly posed problems -- Nonexistence and growth of solutions of Schrodinger-type equations -- Finite escape time: concavity methods -- Finite escape time: other methods -- Miscellaneous results. |

506 | |aRestricted to subscribers or individual electronic text purchasers. |

520 | 3 |aImproperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations. |

530 | |aAlso available in print version. |

538 | |aMode of access: World Wide Web. |

538 | |aSystem requirements: Adobe Acrobat Reader. |

588 | |aTitle from title screen, viewed 04/05/2011. |

650 | 0|aDifferential equations, Partial|xImproperly posed problems. |

653 | |aCauchy problems |

653 | |aEigenfunction |

653 | |aQuasireversibility |

653 | |aLogarithmic convexity |

653 | |aLagrange identity |

653 | |aWeighted energy |

710 | 2 |aSociety for Industrial and Applied Mathematics. |

776 | 08|iPrint version:|z0898710197|z9780898710199|w(DLC) 75329085 |

830 | 0|aCBMS-NSF regional conference series in applied mathematics ;|v22. |

856 | 48|3SIAM|uhttps://ezproxy.gl.iit.edu/login?url=http://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb22|zAccess to the electronic version for current IIT main & branch campus students, faculty, & staff. |