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Continuous Dependence on Modeling for Related Cauchy Problems of a Class of Evolution Equations

✍ Scribed by K.A. Ames; Shannon S. Cobb

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
240 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis

Solutions of a class of Cauchy problems are compared with solutions of related perturbed problems. Holder continuous dependence on the perturbation parame-αΊ—er is established for the difference of these solutions using the logarithmic convexity method. Results are also obtained under weaker restrictions for a special class of linear equations by employing the Lagrange identity method. Studies of this kind attempt to regularize problems that may be ill posed against errors made in formulating the governing equations of mathematical models.

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