Interior problems for elliptic and parabolic equations, and Carleman estimates with distributed singularities
Interior problems for elliptic and parabolic equations, and Carleman estimates with distributed singularities
A new method is proposed for investigating interior problems based on estimates of Carleman type of the solution, where the weight in the estimates has singularities at points of the set carrying the data.
set carrying the data, Second-order elliptic equations, Second-order parabolic equations, estimates of Carleman type, interior problems, weight in the estimates, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, A priori estimates in context of PDEs, singularities
set carrying the data, Second-order elliptic equations, Second-order parabolic equations, estimates of Carleman type, interior problems, weight in the estimates, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, A priori estimates in context of PDEs, singularities
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