Initial values for parabolic functions

DOI10.1016/0022-247X(82)90232-3zbMath0496.35045OpenAlexW2079370356MaRDI QIDQ1170439

H. S. Bear

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90232-3

zbMATH Keywords

exponential growth conditionsinitial values for parabolic functionstranslate of the heat kernel

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

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• On solutions of the equation of heat conduction
• Approximate identities and pointwise convergence
• A Temperature Function Which Vanishes Initially
• Expansions in Terms of Heat Polynomials and Associated Functions
• The Huygens Property for the Heat Equation
• Boundary behavior of temperatures I
• Positive Temperatures on an Infinite Rod

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