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      <subfield code="a">Arrieta Algarra, José María</subfield>
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      <subfield code="a">Rodríguez Bernal, Aníbal</subfield>
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      <subfield code="a">We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Ohm), W-1,W-q(Ohm), 1 &lt; q &lt; infinity, or measures and with critically growing nonlinearities.</subfield>
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      <subfield code="a">Critical nonlinearities at the boundary</subfield>
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