Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On convergence and convergence rates for Ivanov and Morozov
  regularization and application to some parameter identification problems in
  elliptic PDEs   In this paper we provide a convergence analysis of some variational methods
alternative to the classical Tikhonov regularization, namely Ivanov
regularization (also called method of quasi solutions) with some versions of
the discrepancy principle for choosing the regularization parameter, and
Morozov regularization (also called method of the residuals). After motivating
nonequivalence with Tikhonov regularization by means of an example, we prove
well-definedness of the Ivanov and the Morozov method, convergence in the sense
of regularization, as well as convergence rates under variational source
conditions. Finally, we apply these results to some linear and nonlinear
parameter identification problems in elliptic boundary value problems.

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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: stat