Uniqueness for singular backward parabolic inequalities
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- by Alan V. Lair PDF
- Proc. Amer. Math. Soc. 98 (1986), 56-60 Request permission
Abstract:
We prove that the only solution of the partial differential inequality \[ {\left ( {{u_t} + \sum \limits _{i = 1}^n {\left [ {{u_{{x_i}}}_{{x_i}} + \left ( {\frac {{{k_i}}}{{{x_i}}}} \right ){u_{{x_i}}}} \right ]} } \right )^2} \leqslant c\left [ {{u^2} + |{u_x}{|^2}} \right ]\] on a bounded region with homogeneous initial and boundary conditions is the trivial one.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 56-60
- MSC: Primary 35K15; Secondary 35K20, 35R45
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848875-9
- MathSciNet review: 848875