Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-autonomous right and left multiplicative perturbations and maximal
  regularity   We consider the problem of maximal regularity for non-autonomous Cauchy
problems $u'(t) + B(t)A(t)u(t) + P(t)u(t) = f(t), u(0) = u_0$ and $u'(t) +
A(t)B(t)u(t) + P(t)u(t) = f (t), u(0) = u_0$. In both cases, the time dependent
operators $A(t)$ are associated with a family of sesquilinear forms and the
multiplicative left or right perturbations $B(t)$ as well as the additive
perturbation $P(t)$ are families of bounded operators on the considered Hilbert
space. We prove maximal $L_p$-regularity results and other regularity
properties for the solutions of the previous problems under minimal regularity
assumptions on the forms and perturbations.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org