Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal three spheres inequality at the boundary for the Kirchhoff-Love
  plate's equation with Dirichlet conditions   We prove a three sphere inequality with optimal exponent at the boundary for
solutions to the Kirchhoff-Love plate's equation satisfying homogeneous
Dirichlet conditions. This result implies the Strong Unique Continuation
Property at the Boundary (SUCPB). Our approach is based on the method of
Carleman estimates, and involves the construction of an ad hoc conformal
mapping preserving the structure of the operator and the employment of a
suitable reflection of the solution with respect to the flatten boundary which
ensures the needed regularity of the extended solution. To the authors'
knowledge, this is the first (nontrivial) SUCPB result for fourth-order
equations with bi-Laplacian principal part.

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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int