Generalized and classical solutions of nonlinear parabolic equations

DOI10.1016/0362-546X(94)00167-GzbMath0830.35047OpenAlexW2009245252MaRDI QIDQ4839217

Arnaud Heibig, Mohand Moussaoui

Publication date: 6 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00167-g

zbMATH Keywords

uniqueness of generalized solution

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15)

Related Items

Enhanced and restored signals as a generalized solution for shock filter models. I: Existence and uniqueness result of the Cauchy problem ⋮ Generalized solutions of parabolic initial value problems with discontinuous nonlinearities ⋮ Generalized solutions to partial differential equations of evolution type ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ Nonlinear parabolic equations with regularized derivatives ⋮ Generalized solutions of semilinear parabolic equations ⋮ Generalized solutions to Cauchy problems

Cites Work

• Generalized functions solutions of monotone and semilinear parabolic equations
• Generalized solutions of nonlinear parabolic equations with distributions as initial conditions
• The Cauchy problem for an equation in the theory of infiltration
• Generalized solutions to partial differential equations of evolution type
• The elastoplastic shock problem as an example of the resolution of ambiguities in the multiplication of distributions
• A contribution to the theory of generalized functions
• Multiplication of distributions
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