Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1]....Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1].Moreover,the application of these results to the well-posedness of some equations are shown in the last section.展开更多
Compositional-gradient BaTi_(1-x)Sn_(x)O_(3)thin films on Pt(100)/Ti/SiO_(2)/Si substrates are fabricated with sol-gel using spin coating.All of the structures of the prepared thin films are of single-phase crystallin...Compositional-gradient BaTi_(1-x)Sn_(x)O_(3)thin films on Pt(100)/Ti/SiO_(2)/Si substrates are fabricated with sol-gel using spin coating.All of the structures of the prepared thin films are of single-phase crystalline perovskite with a dense and crack-free surface mor-phology.BTS10/15/20 thin film exhibits enhanced temperature stability in its dielectric behavior.The temperature coefficient of capacitance TCC_(20-150)in the temperature range from 20°C to 150°C is−0.9×10^(−4)/°C and that of TCC20-(-95)in the temperature range from 20°C to−95°C is−3.8×10^(−4)/°C.Furthermore,the thin films show low leakage current density and dielectric loss.High and stable dielectric tunable performances are found in BTS10/15/20 thin films:the dielectric tunability of the thin films is around 20.1%under a bias voltage of 8 V at 1 MHz and the corresponding dielectric constant is in the range between 89 and 111,which is beneficial for impedance matching in circuits.Dielectric tunability can be obtained under a low tuning voltage,which helps ensure safety.The simulated resonant frequency of the compositional-gradient BTS thin films depends on the bias electric field,showing compositional-gradient BTS thin films could be used in electrically tunable components and devices.These prop-erties make compositional-gradient BTS thin films a promising candidate for dielectric tuning.展开更多
基金supported by the NSFC(12071437)the National Key R&D Program of China(2022YFA1005700).
文摘Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1].Moreover,the application of these results to the well-posedness of some equations are shown in the last section.
基金This work was supported by the Joint Fund of the Ministry of Education of China under the grant number 6141A02022433.
文摘Compositional-gradient BaTi_(1-x)Sn_(x)O_(3)thin films on Pt(100)/Ti/SiO_(2)/Si substrates are fabricated with sol-gel using spin coating.All of the structures of the prepared thin films are of single-phase crystalline perovskite with a dense and crack-free surface mor-phology.BTS10/15/20 thin film exhibits enhanced temperature stability in its dielectric behavior.The temperature coefficient of capacitance TCC_(20-150)in the temperature range from 20°C to 150°C is−0.9×10^(−4)/°C and that of TCC20-(-95)in the temperature range from 20°C to−95°C is−3.8×10^(−4)/°C.Furthermore,the thin films show low leakage current density and dielectric loss.High and stable dielectric tunable performances are found in BTS10/15/20 thin films:the dielectric tunability of the thin films is around 20.1%under a bias voltage of 8 V at 1 MHz and the corresponding dielectric constant is in the range between 89 and 111,which is beneficial for impedance matching in circuits.Dielectric tunability can be obtained under a low tuning voltage,which helps ensure safety.The simulated resonant frequency of the compositional-gradient BTS thin films depends on the bias electric field,showing compositional-gradient BTS thin films could be used in electrically tunable components and devices.These prop-erties make compositional-gradient BTS thin films a promising candidate for dielectric tuning.
