Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical L^p Estimates of Quasimodes on Submanifolds   Let M be a compact manifold and P = P(h) a semiclassical pseudodifferential
operator on M . Suppose that u(h) is a L^2 normalised family of functions such
that P(h)u(h) is O(h) in L^2, as h goes to 0. Then, for any compact submanifold
Y contained in M, we obtain estimates on the L^p norm of u(h) restricted to Y,
with exponents that are sharp for h goes to 0. As part of the technical
development we prove some extensions of the abstract Strichartz estimates of
Keel and Tao.

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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg