An Explicit a Priori Estimate for Parabolic Equations with Applications to Semilinear Equations

An Explicit a Priori Estimate for Parabolic Equations with Applications to Semilinear Equations

A coercivity inequality for the first initial-boundary value problem for a second order parabolic equation is established. This result is applied to a semilinear problem.

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Veröffentlicht in:SIAM journal on mathematical analysis 1976-10, Vol.7 (5), p.746-753
Hauptverfasser: Elcrat, Alan, Sigillito, Vincent G.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Estimates
Inequality
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Beschreibung
Zusammenfassung:A coercivity inequality for the first initial-boundary value problem for a second order parabolic equation is established. This result is applied to a semilinear problem.
ISSN:0036-1410
1095-7154
DOI:10.1137/0507057